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A320694 Number of partitions of n with up to seven distinct kinds of 1. 2
1, 7, 22, 43, 65, 93, 137, 201, 287, 401, 552, 751, 1010, 1344, 1774, 2323, 3017, 3893, 4995, 6370, 8078, 10195, 12809, 16023, 19958, 24761, 30613, 37720, 46317, 56693, 69192, 84207, 102200, 123715, 149384, 179947, 216265, 259338, 310333, 370593, 441667 (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^(9/2) * 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(7, 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=7 of A292622.

Sequence in context: A063130 A275642 A171441 * A261465 A033954 A159227

Adjacent sequences:  A320691 A320692 A320693 * A320695 A320696 A320697

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 19 2018

STATUS

approved

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Last modified October 19 22:55 EDT 2019. Contains 328244 sequences. (Running on oeis4.)