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A320696 Number of partitions of n with up to nine distinct kinds of 1. 2
1, 9, 37, 94, 173, 266, 388, 568, 826, 1176, 1641, 2256, 3064, 4115, 5472, 7215, 9437, 12250, 15798, 20253, 25813, 32721, 41277, 51836, 64813, 80700, 100093, 123707, 152370, 187047, 228895, 279284, 339806, 412322, 499014, 602430, 725543, 871815, 1045274 (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^(13/2) * 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(9, 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=9 of A292622.

Sequence in context: A273220 A022276 A171443 * A299290 A304290 A244245

Adjacent sequences:  A320693 A320694 A320695 * A320697 A320698 A320699

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 19 2018

STATUS

approved

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Last modified August 17 17:08 EDT 2019. Contains 326059 sequences. (Running on oeis4.)