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A238561
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Number of partitions of 4^n into parts that are at most n.
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2
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0, 1, 9, 374, 123464, 393073019, 13515852419746, 5357744226076852121, 25600195480450832892945051, 1525225328241455762364837330772150, 1164060788951887659290296574533366111395142, 11633609031659470387047660421170953987903118055988725
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OFFSET
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0,3
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..42
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FORMULA
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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
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EXAMPLE
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a(2) = 9: 22222222, 222222211, 2222221111, 22222111111, 222211111111, 2221111111111, 22111111111111, 211111111111111, 1111111111111111.
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CROSSREFS
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Column k=4 of A238010.
Sequence in context: A195518 A302131 A051848 * A290574 A218714 A157567
Adjacent sequences: A238558 A238559 A238560 * A238562 A238563 A238564
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz, Feb 28 2014
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STATUS
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approved
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