A063040 LCM of Stirling numbers of the second kind, S(n,k) for 1 <= k <= n; S(n,k) = number of partitions of {1,2,...,n} with k blocks.

1, 1, 3, 42, 150, 36270, 270900, 9440379900, 3332912051700, 2004302168707167000, 1424191116445997823000, 3936008766237071969447818200, 21777085088797129879788000, 3606055788316324023953497288103040, 14285265906831776486190595321261580256175324800

Offset

1,3

Comments

This is correct; a(13) < a(12). - Don Reble, Oct 24 2006

Links

Alois P. Heinz, Table of n, a(n) for n = 1..49

Example

a(4) = lcm(S(4,1), S(4,2), S(4,3), S(4,4)) = lcm(1,7,6,1) = 42.

Maple

a:= n-> ilcm(seq(Stirling2(n, k), k=1..n)):
seq(a(n), n=1..15);  # Alois P. Heinz, Sep 17 2015

Crossrefs

Sequence in context: A116006 A079826 A112291 * A365594 A294517 A015786

Adjacent sequences: A063037 A063038 A063039 * A063041 A063042 A063043

Keyword

nonn

Author

Leroy Quet, Aug 03 2001

Status

approved