Here are few new ones which I created from the data
we have now. I first send it to you, to avoid any duplicate
work, and then I may edit them further.


This into separate comment/edit mail:

%I A060114
%S A060114 1,1,2,6,6,30,120,720,15120,1164240,15135120,283931716867999200,14510088480716327580681600,
%T A060114 3280681990411073806237542217555200,936436634805345771521186435213604447980767985241556128000,
%U A060114 8874313473385651126327992528726320821920412000108352560657176819428322405546238662310566990215993760000
%N A060114 Least common multiple of all orbit lengths of the permutation A057505.
%Y A060114 A057505, A057507, A057545. A080105 & A080108. Cf. also A060113, A060116.
%Y A060114 Occurs for first time in A073204 as row 2614. A080109(n) = A078491(n)/a(n).
%H A060114 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/gatomorf.c.txt">C-program for counting the initial terms of this sequence</a>
%K A060114 nonn
%O A060114 0,3
%A A060114 Antti Karttunen, Mar 01 2001. More terms computed by AK & Wouter Meeussen (wouter.meeussen@pandora.be) January 2003
%R A060114
%O A060114 0,3
%K A060114 nonn
%A A060114 Antti.Karttunen (my_firstname.my_surname@iki.fi) MMM DD 2002
%D A060114
%p A060114

and here are the new ones:

%I A080104
%S A080104 1,1,1,2,2,4,4,11,15,25,32,64,88,155,234,423,647,1184,1800
%N A080104 Number of distinct cycle lengths in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.
%R A080104
%H A080114 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/gatomorf.c.txt">C-program for counting the initial terms of this sequence</a>
%O A080104 0,4
%K A080104 nonn
%A A080104 Antti.Karttunen (my_firstname.my_surname@iki.fi) MMM DD 2002
%Y A080104 Cf. A080106, A060114.
%D A080104
%p A080104


%I A080105
%S A080105 1,1,2,3,3,5,5,5,7,11,13,89,131,479,479,1879,2153,3167,4463
%N A080105 Largest prime factor of A060114.
%R A080105
%O A080105 0,3
%K A080105 nonn
%A A080105 Antti Karttunen (my_firstname.my_surname@iki.fi) & Wouter Meeussen (wouter.meeussen@pandora.be) Jan 29 2003
%Y A080105 a(n) = A006530(A060114(n)). Cf. A080108, A080106.
%D A080105
%p A080105


%I A080106
%S A080106 1,1,0,1,0,4,0,9,0,24,0,62,0,162,0,447,0,1234,0
%N A080106 Number of odd cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.
%R A080106
%H A080106 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/gatomorf.c.txt">C-program for counting the initial terms of this sequence</a>
%O A080106 0,6
%K A080106 nonn
%A A080106 Antti Karttunen (my_firstname.my_surname@iki.fi) & Wouter Meeussen (wouter.meeussen@pandora.be) Jan 29 2003
%Y A080106 Cf. A080104, A060114.
%D A080106
%p A080106

%I A080107
%S A080107 1,1,4,9,24,62,162,447,1234
%N A080107 Bisection of A080106.
%R A080107
%O A080107 0,3
%K A080107 nonn
%A A080107 Antti Karttunen (my_firstname.my_surname@iki.fi) & Wouter Meeussen (wouter.meeussen@pandora.be) Jan 29 2003
%D A080107
%p A080107


%I A080108
%S A080108 0,0,1,2,2,3,3,3,4,5,6,12,16,20,31,50,70,106,143
%N A080108 Number of distinct primes dividing A060114(n).
%R A080108
%O A080108 0,4
%K A080108 nonn
%A A080108 Antti Karttunen (my_firstname.my_surname@iki.fi) & Wouter Meeussen (wouter.meeussen@pandora.be) Jan 29 2003
%Y A080108 a(n) = A001221(A060114(n)). Cf. A080105.
%D A080108
%p A080108

%I A080109
%S A080109 1,1,1,10,60060,7302006324653040,14577850399338840974182426214847258225604936017786903600,
%T A080109 2397575743926376947419218098419468840733183393675124917104140549247179722332267268071372685962213865169746744254347158293289595220053110816716297329386366736463039067654602412284400
%N A080109 a(n) = A078491(n)/A060114(n).
%R A080109
%O A080109 0,4
%K A080109 nonn
%A A080109 Antti.Karttunen (my_firstname.my_surname@iki.fi) MMM DD 2002
%D A080109
%p A080109


and maybe something else...


Terveisin,

Antti