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A320380 Number of parts in all partitions of n with largest multiplicity ten. 2
10, 0, 11, 11, 23, 23, 48, 48, 87, 100, 164, 192, 290, 344, 500, 614, 847, 1038, 1412, 1728, 2286, 2812, 3650, 4491, 5758, 7045, 8924, 10912, 13668, 16647, 20691, 25104, 30952, 37444, 45853, 55282, 67291, 80824, 97860, 117188, 141132, 168446, 202003, 240312 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..1000

FORMULA

a(n) ~ 3^(1/4) * log(11) * exp(2*Pi*sqrt(5*n/33)) / (2 * Pi * 55^(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])(10):

seq(a(n), n=10..50);

CROSSREFS

Column k=10 of A213177.

Sequence in context: A095418 A055961 A196081 * A088001 A260946 A019091

Adjacent sequences:  A320377 A320378 A320379 * A320381 A320382 A320383

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 11 2018

STATUS

approved

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Last modified August 5 21:58 EDT 2020. Contains 336213 sequences. (Running on oeis4.)