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A320691 Number of partitions of n with up to four distinct kinds of 1. 2
1, 4, 7, 9, 13, 20, 29, 41, 57, 78, 106, 142, 188, 248, 324, 419, 540, 692, 880, 1114, 1404, 1761, 2200, 2736, 3389, 4186, 5152, 6317, 7724, 9418, 11449, 13882, 16789, 20253, 24376, 29271, 35071, 41936, 50041, 59591, 70835, 84049, 99547, 117703, 138941, 163746 (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^(3/2) * 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(4, 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=4 of A292622.

Sequence in context: A310962 A310963 A082869 * A139444 A166569 A024608

Adjacent sequences:  A320688 A320689 A320690 * A320692 A320693 A320694

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 19 2018

STATUS

approved

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Last modified August 17 22:59 EDT 2019. Contains 326059 sequences. (Running on oeis4.)