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A238563 Number of partitions of 6^n into parts that are at most n. 2
0, 1, 19, 3997, 15292153, 1274403730688, 2561606354507677872, 132653831108423573746282961, 185588704806236441807500779350272919, 7271336250750488290453701705473754841288395525, 8205182525221704785195056768847594152799767482152756236799 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..36

FORMULA

a(n) = [x^(6^n)] Product_{j=1..n} 1/(1-x^j).

a(n) ~ 6^(n*(n-1)) / (n!*(n-1)!). - Vaclav Kotesovec, Jun 05 2015

CROSSREFS

Column k=6 of A238010.

Sequence in context: A225602 A195756 A125197 * A281820 A213450 A099809

Adjacent sequences:  A238560 A238561 A238562 * A238564 A238565 A238566

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 28 2014

STATUS

approved

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Last modified December 3 21:17 EST 2021. Contains 349468 sequences. (Running on oeis4.)