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A238564 Number of partitions of 7^n into parts that are at most n. 2

%I #6 Jun 05 2015 16:58:30

%S 0,1,25,9976,96721601,27755132198233,260988425663232777762,

%T 85980297709044488588773397089,

%U 1041234796567281969389323426605470061650,480592801966130874383703685770422428530605893693255,8695567207026865032892758221262809270061815825979643751114435291

%N Number of partitions of 7^n into parts that are at most n.

%H Alois P. Heinz, <a href="/A238564/b238564.txt">Table of n, a(n) for n = 0..36</a>

%F a(n) = [x^(7^n)] Product_{j=1..n} 1/(1-x^j).

%F a(n) ~ 7^(n*(n-1)) / (n!*(n-1)!). - _Vaclav Kotesovec_, Jun 05 2015

%Y Column k=7 of A238010.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Feb 28 2014

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Last modified April 23 02:41 EDT 2024. Contains 371906 sequences. (Running on oeis4.)