A081166 -id:A081166 - cp's OEIS frontend

A060114 Least common multiple of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.

1, 1, 2, 6, 6, 30, 120, 720, 15120, 1164240, 15135120, 283931716867999200, 14510088480716327580681600, 3280681990411073806237542217555200, 936436634805345771521186435213604447980767985241556128000

Offset: 0

Antti Karttunen, Mar 01 2001

nonn

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

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

A. Karttunen, C-program for counting the initial terms of this sequence

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

Occurs for first time in A073204 as row 2614.

A081164 Number of distinct cycle lengths in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.

Original entry on oeis.org

1, 1, 1, 2, 2, 4, 4, 11, 15, 25, 32, 64, 88, 155, 234, 423, 647, 1184, 1800

Offset: 0

Wouter Meeussen and Antti Karttunen, Mar 10 2003

This is the number of nonzero, non-constant terms of the polynomials M_n(x) Donaghey gives on the page 81 of his paper. The term x^18 seems to have been accidentally dropped from the polynomial M_7(x).