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A320692 Number of partitions of n with up to five distinct kinds of 1. 2
1, 5, 11, 16, 22, 33, 49, 70, 98, 135, 184, 248, 330, 436, 572, 743, 959, 1232, 1572, 1994, 2518, 3165, 3961, 4936, 6125, 7575, 9338, 11469, 14041, 17142, 20867, 25331, 30671, 37042, 44629, 53647, 64342, 77007, 91977, 109632, 130426, 154884, 183596, 217250 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

FORMULA

a(n) ~ Pi * 2^(5/2) * exp(Pi*sqrt(2*n/3)) / (3 * n^(3/2)). - Vaclav Kotesovec, Oct 24 2018

MAPLE

b:= proc(n, i) option remember; `if`(n=0 or i=1,

      binomial(5, n), `if`(i>n, 0, b(n-i, i))+b(n, i-1))

    end:

a:= n-> b(n$2):

seq(a(n), n=0..60);

CROSSREFS

Column k=5 of A292622.

Sequence in context: A299911 A314169 A314170 * A314171 A314172 A314173

Adjacent sequences:  A320689 A320690 A320691 * A320693 A320694 A320695

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 19 2018

STATUS

approved

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Last modified August 21 05:37 EDT 2019. Contains 326162 sequences. (Running on oeis4.)