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A238562 Number of partitions of 5^n into parts that are at most n. 2
0, 1, 13, 1365, 1736385, 33432635477, 10815459920194632, 62725487942251841319705, 6831392910998237157682785667015, 14474273684384810126076369987535894403747, 613458701796516369003780850311157775345255117642867 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..40

FORMULA

a(n) = [x^(5^n)] Product_{j=1..n} 1/(1-x^j).

a(n) ~ 5^(n*(n-1)) / (n!*(n-1)!). - Vaclav Kotesovec, Jun 05 2015

EXAMPLE

a(2) = 13: 2222222222221, 22222222222111, 222222222211111, 2222222221111111, 22222222111111111, 222222211111111111, 2222221111111111111, 22222111111111111111, 222211111111111111111, 2221111111111111111111, 22111111111111111111111, 211111111111111111111111, 1111111111111111111111111.

CROSSREFS

Column k=5 of A238010.

Sequence in context: A221690 A197630 A222017 * A196966 A203369 A197097

Adjacent sequences:  A238559 A238560 A238561 * A238563 A238564 A238565

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 28 2014

STATUS

approved

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Last modified December 9 08:41 EST 2021. Contains 349627 sequences. (Running on oeis4.)