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A320379 Number of parts in all partitions of n with largest multiplicity nine. 2

%I

%S 9,0,10,10,21,21,44,44,80,101,152,178,279,330,476,594,813,1004,1359,

%T 1669,2208,2743,3540,4365,5610,6876,8697,10669,13349,16290,20258,

%U 24603,30334,36773,44999,54312,66122,79490,96214,115337,138887,165891,198941,236783

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

%H Alois P. Heinz, <a href="/A320379/b320379.txt">Table of n, a(n) for n = 9..1000</a>

%F a(n) ~ log(10) * exp(Pi*sqrt(3*n/5)) / (2 * Pi * 15^(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])(9):

%p seq(a(n), n=9..50);

%Y Column k=9 of A213177.

%K nonn

%O 9,1

%A _Alois P. Heinz_, Oct 11 2018

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Last modified August 3 17:21 EDT 2021. Contains 346439 sequences. (Running on oeis4.)