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A320695 Number of partitions of n with up to eight distinct kinds of 1. 2
1, 8, 29, 65, 108, 158, 230, 338, 488, 688, 953, 1303, 1761, 2354, 3118, 4097, 5340, 6910, 8888, 11365, 14448, 18273, 23004, 28832, 35981, 44719, 55374, 68333, 84037, 103010, 125885, 153399, 186407, 225915, 273099, 329331, 396212, 475603, 569671, 680926 (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^(11/2) * 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(8, 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=8 of A292622.

Sequence in context: A300310 A171442 A247541 * A093809 A244244 A037157

Adjacent sequences:  A320692 A320693 A320694 * A320696 A320697 A320698

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 19 2018

STATUS

approved

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Last modified October 23 08:57 EDT 2019. Contains 328345 sequences. (Running on oeis4.)