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A320379 Number of parts in all partitions of n with largest multiplicity nine. 2
9, 0, 10, 10, 21, 21, 44, 44, 80, 101, 152, 178, 279, 330, 476, 594, 813, 1004, 1359, 1669, 2208, 2743, 3540, 4365, 5610, 6876, 8697, 10669, 13349, 16290, 20258, 24603, 30334, 36773, 44999, 54312, 66122, 79490, 96214, 115337, 138887, 165891, 198941, 236783 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 9..1000

FORMULA

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

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

CROSSREFS

Column k=9 of A213177.

Sequence in context: A151949 A056965 A341486 * A308102 A338016 A062047

Adjacent sequences:  A320376 A320377 A320378 * A320380 A320381 A320382

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 11 2018

STATUS

approved

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Last modified June 17 19:57 EDT 2021. Contains 345085 sequences. (Running on oeis4.)