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A320376 Number of parts in all partitions of n with largest multiplicity six. 2
6, 0, 7, 7, 15, 15, 38, 39, 67, 84, 131, 160, 242, 293, 421, 537, 730, 912, 1234, 1533, 2021, 2525, 3269, 4053, 5185, 6394, 8080, 9948, 12425, 15219, 18893, 23006, 28319, 34379, 42024, 50788, 61736, 74279, 89795, 107674, 129483, 154660, 185221, 220424, 262820 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..1000

FORMULA

a(n) ~ log(7) * exp(2*Pi*sqrt(n/7)) / (2 * Pi * 7^(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])(6):

seq(a(n), n=6..50);

CROSSREFS

Column k=6 of A213177.

Sequence in context: A196915 A249651 A021626 * A059956 A245700 A201521

Adjacent sequences:  A320373 A320374 A320375 * A320377 A320378 A320379

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 11 2018

STATUS

approved

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Last modified August 9 13:56 EDT 2020. Contains 336323 sequences. (Running on oeis4.)