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Least common multiple of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.
9

%I #6 Oct 25 2022 18:20:56

%S 1,1,2,6,6,30,120,720,15120,1164240,15135120,283931716867999200,

%T 14510088480716327580681600,3280681990411073806237542217555200,

%U 936436634805345771521186435213604447980767985241556128000

%N Least common multiple of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.

%C For the convenience of the range notation above, we define A014137(-1) and A014138(-1) as zero.

%C This sequence grows so fast that it seems hopeless to count A057507 with Burnside's (orbit-counting) lemma.

%H A. Karttunen, <a href="/A089408/a089408.c.txt">C-program for counting the initial terms of this sequence</a>

%Y Cf. A057505, A057507, A057545, A081165, A081166, A078491.

%Y Occurs for first time in A073204 as row 2614.

%K nonn

%O 0,3

%A _Antti Karttunen_, Mar 01 2001.