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A320375 Number of parts in all partitions of n with largest multiplicity five. 2

%I

%S 5,0,6,6,13,18,34,35,66,82,120,154,230,286,408,514,699,886,1189,1485,

%T 1949,2441,3136,3906,4980,6159,7757,9555,11908,14600,18062,22000,

%U 27028,32804,39996,48327,58614,70489,85036,101876,122284,145943,174419,207354,246804

%N Number of parts in all partitions of n with largest multiplicity five.

%H Alois P. Heinz, <a href="/A320375/b320375.txt">Table of n, a(n) for n = 5..1000</a>

%F a(n) ~ log(6) * exp(Pi*sqrt(5*n)/3) / (2 * Pi * 5^(1/4) * n^(1/4)). - _Vaclav Kotesovec_, Oct 25 2018

%p b:= proc(n, i, k) option remember; `if`(n=0, [1, 0], `if`(i<1, 0,

%p add((l->l+[0, l[1]*j])(b(n-i*j, i-1, k)), j=0..min(n/i, k))))

%p end:

%p a:= n-> (k-> (b(n$2, k)-b(n$2, k-1))[2])(5):

%p seq(a(n), n=5..50);

%Y Column k=5 of A213177.

%K nonn

%O 5,1

%A _Alois P. Heinz_, Oct 11 2018

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Last modified September 29 17:14 EDT 2020. Contains 337432 sequences. (Running on oeis4.)