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A238561 Number of partitions of 4^n into parts that are at most n. 2
0, 1, 9, 374, 123464, 393073019, 13515852419746, 5357744226076852121, 25600195480450832892945051, 1525225328241455762364837330772150, 1164060788951887659290296574533366111395142, 11633609031659470387047660421170953987903118055988725 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..42

FORMULA

a(n) = [x^(4^n)] Product_{j=1..n} 1/(1-x^j).

a(n) ~ 4^(n*(n-1)) / (n!*(n-1)!). - Vaclav Kotesovec, Jun 05 2015

EXAMPLE

a(2) = 9: 22222222, 222222211, 2222221111, 22222111111, 222211111111, 2221111111111, 22111111111111, 211111111111111, 1111111111111111.

CROSSREFS

Column k=4 of A238010.

Sequence in context: A195518 A302131 A051848 * A290574 A218714 A157567

Adjacent sequences:  A238558 A238559 A238560 * A238562 A238563 A238564

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 28 2014

STATUS

approved

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Last modified July 6 14:10 EDT 2022. Contains 355110 sequences. (Running on oeis4.)