Cheers,

48 NEW PRENUMBERED SEQUENCES: A115793 - A115834 & A115845-A115850.
(note that most of these are included in the index entries
that I will submit in a separate mail, so the renumbering
these would be very toilsome indeed...)

Cheers,

Antti


%I A115793
%S A115793 0,1,2,4,5,8,10,13,16,17,20,26,29,32,33,34,40,45,52,58,64,65,66,68,69,
%T A115793 77,80,81,90,93,104,116,128,129,130,132,133,136,138,154,157,160,161,
%U A115793 162,180,186,205,208,209,232,256,257,258,260,261,264,266,269,272,273
%N A115793 Integers i such that 1*i XOR 10*i = 11*i.
%C A115793 XOR is A003987.
%H A115793 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115793 A115794 shows this sequence in binary.
%K A115793 nonn
%O A115793 0,3
%A A115793 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115794
%S A115794 0,1,10,100,101,1000,1010,1101,10000,10001,10100,11010,11101,100000,
%T A115794 100001,100010,101000,101101,110100,111010,1000000,1000001,1000010,
%U A115794 1000100,1000101,1001101,1010000,1010001,1011010,1011101,1101000
%N A115794 Sequence A115793 in binary.
%Y A115794 a(n) = A007088(A115793(n)).
%K A115794 nonn,base
%O A115794 0,3
%A A115794 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115795
%S A115795 0,1,2,4,8,16,17,29,32,33,34,57,58,64,65,66,68,93,114,116,128,129,130,
%T A115795 132,136,185,186,228,232,256,257,258,260,264,272,273,349,370,372,456,
%U A115795 464,465,512,513,514,516,520,528,529,541,544,545,546,697,698,740,744
%N A115795 Integers i such that 2*i XOR 9*i = 11*i.
%C A115795 XOR is A003987.
%H A115795 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115795 A115796 shows this sequence in binary.
%K A115795 nonn
%O A115795 0,3
%A A115795 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115796
%S A115796 0,1,10,100,1000,10000,10001,11101,100000,100001,100010,111001,111010,
%T A115796 1000000,1000001,1000010,1000100,1011101,1110010,1110100,10000000,
%U A115796 10000001,10000010,10000100,10001000,10111001,10111010,11100100
%N A115796 Sequence A115795 in binary.
%Y A115796 a(n) = A007088(A115795(n)).
%K A115796 nonn,base
%O A115796 0,3
%A A115796 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115797
%S A115797 0,1,2,4,8,11,16,17,22,23,32,33,34,43,44,45,46,64,65,66,68,86,87,88,
%T A115797 90,92,93,128,129,130,132,136,139,171,172,173,174,176,177,180,184,186,
%U A115797 256,257,258,260,264,267,272,273,278,279,342,343,344,346,348,349,352
%N A115797 Integers i such that 3*i XOR 8*i = 11*i.
%C A115797 XOR is A003987.
%H A115797 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115797 A115798 shows this sequence in binary.
%K A115797 nonn
%O A115797 0,3
%A A115797 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115798
%S A115798 0,1,10,100,1000,1011,10000,10001,10110,10111,100000,100001,100010,
%T A115798 101011,101100,101101,101110,1000000,1000001,1000010,1000100,1010110,
%U A115798 1010111,1011000,1011010,1011100,1011101,10000000,10000001,10000010
%N A115798 Sequence A115797 in binary.
%Y A115798 a(n) = A007088(A115797(n)).
%K A115798 nonn,base
%O A115798 0,3
%A A115798 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115799
%S A115799 0,5,10,20,23,37,40,46,74,80,92,93,148,151,160,183,184,186,293,296,
%T A115799 302,320,325,366,368,372,586,592,604,605,640,645,650,732,733,736,741,
%U A115799 744,1172,1175,1184,1207,1208,1210,1280,1285,1290,1300,1303,1463,1464
%N A115799 Integers i such that 4*i XOR 7*i = 11*i.
%C A115799 XOR is A003987.
%H A115799 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115799 A115800 shows this sequence in binary.
%K A115799 nonn
%O A115799 0,2
%A A115799 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115800
%S A115800 0,101,1010,10100,10111,100101,101000,101110,1001010,1010000,1011100,
%T A115800 1011101,10010100,10010111,10100000,10110111,10111000,10111010,
%U A115800 100100101,100101000,100101110,101000000,101000101,101101110
%N A115800 Sequence A115799 in binary.
%Y A115800 a(n) = A007088(A115799(n)).
%K A115800 nonn,base
%O A115800 0,2
%A A115800 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115801
%S A115801 0,15,30,31,60,62,63,120,124,126,127,240,248,252,254,255,480,496,504,
%T A115801 508,510,511,960,992,1008,1016,1020,1022,1023,1920,1984,2016,2032,
%U A115801 2040,2044,2046,2047,3840,3855,3968,4032,4064,4080,4088,4092,4094
%N A115801 Integers i such that 9*i = 25 X i.
%C A115801 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720).
%H A115801 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>
%Y A115801 Seems to be a superset of A115809. A115811 gives the terms not present in A115809. A115802 shows this sequence in binary.
%K A115801 nonn
%O A115801 0,2
%A A115801 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115802
%S A115802 0,1111,11110,11111,111100,111110,111111,1111000,1111100,1111110,
%T A115802 1111111,11110000,11111000,11111100,11111110,11111111,111100000,
%U A115802 111110000,111111000,111111100,111111110,111111111,1111000000
%N A115802 Sequence A115801 in binary.
%Y A115802 a(n) = A007088(A115801(n)).
%K A115802 nonn,base
%O A115802 0,2
%A A115802 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115803
%S A115803 0,3,6,12,15,24,27,30,31,48,51,54,60,62,63,96,102,108,120,124,126,127,
%T A115803 192,195,204,207,216,219,240,243,248,252,254,255,384,387,390,403,408,
%U A115803 411,414,415,432,435,438,480,486,496,499,504,508,510,511,768,771,774
%N A115803 Integers i such that 11*i = 31 X i.
%C A115803 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720).
%H A115803 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>
%Y A115803 A115804 shows this sequence in binary.
%K A115803 nonn
%O A115803 0,2
%A A115803 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115804
%S A115804 0,11,110,1100,1111,11000,11011,11110,11111,110000,110011,110110,
%T A115804 111100,111110,111111,1100000,1100110,1101100,1111000,1111100,1111110,
%U A115804 1111111,11000000,11000011,11001100,11001111,11011000,11011011
%N A115804 Sequence A115803 in binary.
%Y A115804 a(n) = A007088(A115803(n)).
%K A115804 nonn,base
%O A115804 0,2
%A A115804 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115805
%S A115805 0,3,6,12,24,48,96,192,195,384,387,390,768,771,774,780,1536,1539,1542,
%T A115805 1548,1560,3072,3075,3078,3084,3096,3120,6144,6147,6150,6156,6168,
%U A115805 6192,6240,12288,12291,12294,12300,12312,12336,12384,12480,12483
%N A115805 Integers i such that 13*i = 29 X i.
%C A115805 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720).
%H A115805 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>
%Y A115805 Subset of A115823 ? Differs from A115829 for the first time at n=21, where A115829(21)=2979 while a(21)=3072. A115806 shows this sequence in binary.
%K A115805 nonn
%O A115805 0,2
%A A115805 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115806
%S A115806 0,11,110,1100,11000,110000,1100000,11000000,11000011,110000000,
%T A115806 110000011,110000110,1100000000,1100000011,1100000110,1100001100,
%U A115806 11000000000,11000000011,11000000110,11000001100,11000011000
%N A115806 Sequence A115805 in binary.
%Y A115806 a(n) = A007088(A115805(n)). Differs from A115830 for the first time at n=21, where A115830(21)=101110100011 while a(21)=110000000000.
%K A115806 nonn,base
%O A115806 0,2
%A A115806 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115807
%S A115807 0,3,6,12,24,48,51,96,102,192,195,204,384,387,390,408,768,771,774,780,
%T A115807 816,819,1536,1539,1542,1548,1560,1632,1638,3072,3075,3078,3084,3096,
%U A115807 3120,3123,3264,3267,3276,6144,6147,6150,6156,6168,6192,6195,6240
%N A115807 Integers i such that 15*i = 27 X i.
%C A115807 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720).
%H A115807 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>
%Y A115807 A115808 shows this sequence in binary.
%K A115807 nonn
%O A115807 0,2
%A A115807 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115808
%S A115808 0,11,110,1100,11000,110000,110011,1100000,1100110,11000000,11000011,
%T A115808 11001100,110000000,110000011,110000110,110011000,1100000000,
%U A115808 1100000011,1100000110,1100001100,1100110000,1100110011,11000000000
%N A115808 Sequence A115807 in binary.
%Y A115808 a(n) = A007088(A115807(n)).
%K A115808 nonn,base
%O A115808 0,2
%A A115808 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115809
%S A115809 0,31,62,63,124,126,127,248,252,254,255,496,504,508,510,511,992,1008,
%T A115809 1016,1020,1022,1023,1984,2016,2032,2040,2044,2046,2047,3968,4032,
%U A115809 4064,4080,4088,4092,4094,4095,7936,8064,8128,8160,8176,8184,8188
%N A115809 Integers i such that 17*i = 49 X i.
%C A115809 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720).
%H A115809 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>
%Y A115809 Subset of A115801 ? A115810 shows this sequence in binary.
%K A115809 nonn
%O A115809 0,2
%A A115809 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115810
%S A115810 0,11111,111110,111111,1111100,1111110,1111111,11111000,11111100,
%T A115810 11111110,11111111,111110000,111111000,111111100,111111110,111111111,
%U A115810 1111100000,1111110000,1111111000,1111111100,1111111110,1111111111
%N A115810 Sequence A115809 in binary.
%Y A115810 a(n) = A007088(A115809(n)).
%K A115810 nonn,base
%O A115810 0,2
%A A115810 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115811
%S A115811 15,30,60,120,240,480,960,1920,3840,3855,7680,7695,7710,7711,7951,
%T A115811 15360,15375,15390,15391,15420,15422,15423,15887,15902,15903,16143,
%U A115811 30720,30735,30750,30751,30780,30782,30783,30840,30844,30846,30847
%N A115811 Integers i such that 9*i = 25 X i, but 17*i is not 49 X i.
%C A115811 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720).
%H A115811 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>
%Y A115811 Setwise difference of A115801 and A115809. A115812 shows this sequence in binary.
%K A115811 nonn
%O A115811 1,1
%A A115811 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115812
%S A115812 1111,11110,111100,1111000,11110000,111100000,1111000000,11110000000,
%T A115812 111100000000,111100001111,1111000000000,1111000001111,1111000011110,
%U A115812 1111000011111,1111100001111,11110000000000,11110000001111
%N A115812 Sequence A115811 in binary.
%Y A115812 a(n) = A007088(A115811(n)).
%K A115812 nonn,base
%O A115812 1,1
%A A115812 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115813
%S A115813 0,1,2,4,8,9,13,16,17,18,26,32,33,34,36,52,64,65,66,68,72,73,104,105,
%T A115813 109,128,129,130,132,136,137,141,144,145,146,205,208,209,210,218,256,
%U A115813 257,258,260,264,265,269,272,273,274,282,288,289,290,292,410,416,417
%N A115813 Integers i such that 2*i XOR 5*i = 7*i.
%C A115813 XOR is A003987.
%H A115813 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115813 A115814 shows this sequence in binary.
%K A115813 nonn
%O A115813 0,3
%A A115813 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115814
%S A115814 0,1,10,100,1000,1001,1101,10000,10001,10010,11010,100000,100001,
%T A115814 100010,100100,110100,1000000,1000001,1000010,1000100,1001000,1001001,
%U A115814 1101000,1101001,1101101,10000000,10000001,10000010,10000100,10001000
%N A115814 Sequence A115813 in binary.
%Y A115814 a(n) = A007088(A115813(n)).
%K A115814 nonn,base
%O A115814 0,3
%A A115814 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115815
%S A115815 0,7,14,28,39,55,56,78,110,112,156,167,220,224,295,311,312,334,439,
%T A115815 440,448,455,590,622,624,668,679,878,880,896,903,910,1180,1191,1244,
%U A115815 1248,1319,1335,1336,1358,1756,1760,1792,1799,1806,1820,2343,2359
%N A115815 Integers i such that 2*i XOR 7*i = 9*i.
%C A115815 XOR is A003987.
%H A115815 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115815 A115816 shows this sequence in binary.
%K A115815 nonn
%O A115815 0,2
%A A115815 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115816
%S A115816 0,111,1110,11100,100111,110111,111000,1001110,1101110,1110000,
%T A115816 10011100,10100111,11011100,11100000,100100111,100110111,100111000,
%U A115816 101001110,110110111,110111000,111000000,111000111,1001001110
%N A115816 Sequence A115815 in binary.
%Y A115816 a(n) = A007088(A115815(n)).
%K A115816 nonn,base
%O A115816 0,2
%A A115816 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115817
%S A115817 0,5,10,15,20,30,40,45,60,79,80,90,120,158,160,165,180,237,240,316,
%T A115817 320,325,330,357,360,474,480,632,640,645,650,655,660,709,714,719,720,
%U A115817 948,960,1261,1264,1280,1285,1290,1295,1300,1310,1320,1325,1418,1423
%N A115817 Integers i such that 4*i XOR 13*i = 17*i.
%C A115817 XOR is A003987.
%H A115817 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115817 A115818 shows this sequence in binary.
%K A115817 nonn
%O A115817 0,2
%A A115817 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115818
%S A115818 0,101,1010,1111,10100,11110,101000,101101,111100,1001111,1010000,
%T A115818 1011010,1111000,10011110,10100000,10100101,10110100,11101101,
%U A115818 11110000,100111100,101000000,101000101,101001010,101100101,101101000
%N A115818 Sequence A115817 in binary.
%Y A115818 a(n) = A007088(A115817(n)).
%K A115818 nonn,base
%O A115818 0,2
%A A115818 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115819
%S A115819 0,5,10,13,20,26,37,40,52,69,74,77,80,104,138,141,148,154,160,205,208,
%T A115819 276,282,293,296,308,320,410,416,431,549,552,564,581,586,589,592,616,
%U A115819 640,645,820,832,862,1093,1098,1101,1104,1128,1162,1165,1172,1178
%N A115819 Integers i such that 4*i XOR 15*i = 19*i.
%C A115819 XOR is A003987.
%H A115819 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115819 A115820 shows this sequence in binary.
%K A115819 nonn
%O A115819 0,2
%A A115819 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115820
%S A115820 0,101,1010,1101,10100,11010,100101,101000,110100,1000101,1001010,
%T A115820 1001101,1010000,1101000,10001010,10001101,10010100,10011010,10100000,
%U A115820 11001101,11010000,100010100,100011010,100100101,100101000,100110100
%N A115820 Sequence A115819 in binary.
%Y A115820 a(n) = A007088(A115819(n)).
%K A115820 nonn,base
%O A115820 0,2
%A A115820 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115821
%S A115821 0,3,6,11,12,22,24,35,43,44,47,48,70,86,88,91,94,96,139,140,171,172,
%T A115821 175,176,182,188,192,195,278,280,291,342,344,347,350,352,363,364,376,
%U A115821 384,387,390,547,555,556,559,560,582,683,684,687,688,694,700,704,707
%N A115821 Integers i such that 6*i XOR 15*i = 21*i.
%C A115821 XOR is A003987.
%H A115821 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115821 A115822 shows this sequence in binary.
%K A115821 nonn
%O A115821 0,2
%A A115821 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115822
%S A115822 0,11,110,1011,1100,10110,11000,100011,101011,101100,101111,110000,
%T A115822 1000110,1010110,1011000,1011011,1011110,1100000,10001011,10001100,
%U A115822 10101011,10101100,10101111,10110000,10110110,10111100,11000000
%N A115822 Sequence A115821 in binary.
%Y A115822 a(n) = A007088(A115821(n)).
%K A115822 nonn,base
%O A115822 0,2
%A A115822 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115823
%S A115823 0,3,5,6,10,12,20,21,24,40,41,42,48,79,80,82,84,85,96,158,160,163,164,
%T A115823 168,169,170,192,195,316,320,323,325,326,328,329,335,336,338,340,341,
%U A115823 384,387,389,390,632,633,640,643,645,646,650,652,656,658,670,672,675
%N A115823 Integers i such that 8*i XOR 13*i = 23*i.
%C A115823 XOR is A003987.
%H A115823 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115823 Seems to be a superset of A115805. A115825 gives the terms not present in A115805. A115824 shows this sequence in binary.
%K A115823 nonn
%O A115823 0,2
%A A115823 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115824
%S A115824 0,11,101,110,1010,1100,10100,10101,11000,101000,101001,101010,110000,
%T A115824 1001111,1010000,1010010,1010100,1010101,1100000,10011110,10100000,
%U A115824 10100011,10100100,10101000,10101001,10101010,11000000,11000011
%N A115824 Sequence A115823 in binary.
%Y A115824 a(n) = A007088(A115823(n)).
%K A115824 nonn,base
%O A115824 0,2
%A A115824 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115825
%S A115825 5,10,20,21,40,41,42,79,80,82,84,85,158,160,163,164,168,169,170,316,
%T A115825 320,323,325,326,328,329,335,336,338,340,341,389,632,633,640,643,645,
%U A115825 646,650,652,656,658,670,672,675,676,680,681,682,773,778,1264,1266
%N A115825 Integers i such that 8*i XOR 13*i = 23*i, but 13*i is not 29 X i.
%C A115825 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720). XOR is given at A003987.
%Y A115825 Setwise difference of A115823 and A115805. A115826 shows this sequence in binary.
%K A115825 nonn
%O A115825 1,1
%A A115825 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115826
%S A115826 101,1010,10100,10101,101000,101001,101010,1001111,1010000,1010010,
%T A115826 1010100,1010101,10011110,10100000,10100011,10100100,10101000,
%U A115826 10101001,10101010,100111100,101000000,101000011,101000101,101000110
%N A115826 Sequence A115825 in binary.
%Y A115826 a(n) = A007088(A115825(n)).
%K A115826 nonn,base
%O A115826 1,1
%A A115826 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115827
%S A115827 0,45,90,93,173,180,186,346,349,360,365,372,685,692,698,717,720,730,
%T A115827 733,744,1370,1373,1384,1389,1396,1434,1437,1440,1453,1460,1466,1485,
%U A115827 1488,2733,2740,2746,2765,2768,2778,2781,2792,2868,2874,2880,2906
%N A115827 Integers i such that 5*i XOR 6*i = 11*i.
%C A115827 XOR is A003987.
%H A115827 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115827 Seems to be a superset of A115805. A115825 gives the terms not present in A115805. A115828 shows this sequence in binary.
%K A115827 nonn
%O A115827 0,2
%A A115827 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115828
%S A115828 0,101101,1011010,1011101,10101101,10110100,10111010,101011010,
%T A115828 101011101,101101000,101101101,101110100,1010101101,1010110100,
%U A115828 1010111010,1011001101,1011010000,1011011010,1011011101,1011101000
%N A115828 Sequence A115827 in binary.
%Y A115828 a(n) = A007088(A115827(n)).
%K A115828 nonn,base
%O A115828 0,2
%A A115828 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115829
%S A115829 0,3,6,12,24,48,96,192,195,384,387,390,768,771,774,780,1536,1539,1542,
%T A115829 1548,1560,2979,3072,3075,3078,3084,3096,3120,5958,6144,6147,6150,
%U A115829 6156,6168,6192,6240,11916,11939,12288,12291,12294,12300,12312,12336
%N A115829 Integers i such that 10*i XOR 11*i = 21*i.
%C A115829 XOR is A003987.
%H A115829 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115829 Differs from A115805 for the first time at n=21, where A115805(21)=3072 while a(21)=2979. A115830 shows this sequence in binary.
%K A115829 nonn
%O A115829 0,2
%A A115829 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115830
%S A115830 0,11,110,1100,11000,110000,1100000,11000000,11000011,110000000,
%T A115830 110000011,110000110,1100000000,1100000011,1100000110,1100001100,
%U A115830 11000000000,11000000011,11000000110,11000001100,11000011000
%N A115830 Sequence A115829 in binary.
%Y A115830 a(n) = A007088(A115829(n)). Differs from A115806 for the first time at n=21, where A115806(21)=110000000000 while a(21)=101110100011.
%K A115830 nonn,base
%O A115830 0,2
%A A115830 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115831
%S A115831 0,1,2,4,5,8,10,16,20,32,33,40,64,65,66,80,128,129,130,132,133,143,
%T A115831 160,161,256,257,258,260,261,264,266,285,286,320,321,322,512,513,514,
%U A115831 516,517,520,522,528,532,569,570,572,573,640,641,642,644,645,655,1024
%N A115831 Integers i such that 9*i XOR 16*i = 25*i.
%C A115831 XOR is A003987.
%H A115831 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115831 A115832 shows this sequence in binary.
%K A115831 nonn
%O A115831 0,3
%A A115831 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115832
%S A115832 0,1,10,100,101,1000,1010,10000,10100,100000,100001,101000,1000000,
%T A115832 1000001,1000010,1010000,10000000,10000001,10000010,10000100,10000101,
%U A115832 10001111,10100000,10100001,100000000,100000001,100000010,100000100
%N A115832 Sequence A115831 in binary.
%Y A115832 a(n) = A007088(A115831(n)).
%K A115832 nonn,base
%O A115832 0,3
%A A115832 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115833
%S A115833 0,31,61,62,121,122,124,241,242,244,248,482,484,488,496,964,968,976,
%T A115833 977,992,1928,1936,1937,1939,1952,1954,1984,3856,3857,3859,3863,3872,
%U A115833 3874,3878,3904,3908,3968,7711,7712,7714,7718,7726,7744,7748,7756
%N A115833 Integers i such that 16*i XOR 17*i = 33*i.
%C A115833 XOR is A003987.
%H A115833 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115833 A115834 shows this sequence in binary.
%K A115833 nonn
%O A115833 0,2
%A A115833 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115834
%S A115834 0,11111,111101,111110,1111001,1111010,1111100,11110001,11110010,
%T A115834 11110100,11111000,111100010,111100100,111101000,111110000,1111000100,
%U A115834 1111001000,1111010000,1111010001,1111100000,11110001000,11110010000
%N A115834 Sequence A115833 in binary.
%Y A115834 a(n) = A007088(A115833(n)).
%K A115834 nonn,base
%O A115834 0,2
%A A115834 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115845
%S A115845 0,1,2,3,4,5,6,7,8,10,12,14,16,17,20,21,24,28,32,33,34,35,40,42,48,49,
%T A115845 56,64,65,66,67,68,69,70,71,80,81,84,85,96,97,98,99,112,113,128,129,
%U A115845 130,131,132,133,134,135,136,138,140,142,160,161,162,163,168,170,192
%N A115845 Integers i such that 9*i = 9 X i, i.e. 8*i XOR i = 9*i.
%C A115845 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720).
%H A115845 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>
%H A115845 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115845 A115846 shows this sequence in binary.
%K A115845 nonn
%O A115845 0,3
%A A115845 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115846
%S A115846 0,1,10,11,100,101,110,111,1000,1010,1100,1110,10000,10001,10100,
%T A115846 10101,11000,11100,100000,100001,100010,100011,101000,101010,110000,
%U A115846 110001,111000,1000000,1000001,1000010,1000011,1000100,1000101
%N A115846 Sequence A115845 in binary.
%Y A115846 a(n) = A007088(A115845(n)).
%K A115846 nonn,base
%O A115846 0,3
%A A115846 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115847
%S A115847 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,22,24,26,28,30,32,33,
%T A115847 36,37,40,41,44,45,48,52,56,60,64,65,66,67,72,73,74,75,80,82,88,90,96,
%U A115847 97,104,105,112,120,128,129,130,131,132,133,134,135,144,146,148,150
%N A115847 Integers i such that 17*i = 17 X i, i.e. 16*i XOR i = 17*i.
%C A115847 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720).
%H A115847 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>
%H A115847 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruXOR">Index entries for sequences defined by congruent products under XOR</a>
%Y A115847 A115848 shows this sequence in binary. Complement of A115849. Differs from A032966 for the first time at n=25, where A032966(25)=34 while a(25)=33.
%K A115847 nonn
%O A115847 0,3
%A A115847 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115848
%S A115848 0,1,10,11,100,101,110,111,1000,1001,1010,1011,1100,1101,1110,1111,
%T A115848 10000,10010,10100,10110,11000,11010,11100,11110,100000,100001,100100,
%U A115848 100101,101000,101001,101100,101101,110000,110100,111000,111100
%N A115848 Sequence A115847 in binary.
%Y A115848 a(n) = A007088(A115847(n)). Differs from A007088 (Numbers written in base 2) for the first time at n=17.
%K A115848 nonn,base
%O A115848 0,3
%A A115848 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115849
%S A115849 17,19,21,23,25,27,29,31,34,35,38,39,42,43,46,47,49,50,51,53,54,55,57,
%T A115849 58,59,61,62,63,68,69,70,71,76,77,78,79,81,83,84,85,86,87,89,91,92,93,
%U A115849 94,95,98,99,100,101,102,103,106,107,108,109,110,111,113,114,115,116
%N A115849 Integers i such that 17*i is not 17 X i.
%C A115849 Here * stands for ordinary multiplication, and X means carryless (GF(2)[X]) multiplication (A048720).
%H A115849 <a href="http://www.research.att.com/~njas/sequences/Sindx_Con.html#CongruCrossDomain">Index entries for sequences defined by congruent products between domains N and GF(2)[X]</a>
%Y A115849 A115850 shows this sequence in binary. Complement of A115847.
%K A115849 nonn
%O A115849 1,1
%A A115849 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006

%I A115850
%S A115850 10001,10011,10101,10111,11001,11011,11101,11111,100010,100011,100110,
%T A115850 100111,101010,101011,101110,101111,110001,110010,110011,110101,
%U A115850 110110,110111,111001,111010,111011,111101,111110,111111,1000100
%N A115850 Sequence A115849 in binary.
%Y A115850 a(n) = A007088(A115849(n)).
%K A115850 nonn,base
%O A115850 1,1
%A A115850 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Feb 01 2006