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A320375 Number of parts in all partitions of n with largest multiplicity five. 2
5, 0, 6, 6, 13, 18, 34, 35, 66, 82, 120, 154, 230, 286, 408, 514, 699, 886, 1189, 1485, 1949, 2441, 3136, 3906, 4980, 6159, 7757, 9555, 11908, 14600, 18062, 22000, 27028, 32804, 39996, 48327, 58614, 70489, 85036, 101876, 122284, 145943, 174419, 207354, 246804 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 5..1000

FORMULA

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

MAPLE

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

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

    end:

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

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

CROSSREFS

Column k=5 of A213177.

Sequence in context: A098403 A166126 A265011 * A200419 A271522 A069206

Adjacent sequences:  A320372 A320373 A320374 * A320376 A320377 A320378

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 11 2018

STATUS

approved

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Last modified August 9 22:07 EDT 2020. Contains 336326 sequences. (Running on oeis4.)