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A320693 Number of partitions of n with up to six distinct kinds of 1. 2
1, 6, 16, 27, 38, 55, 82, 119, 168, 233, 319, 432, 578, 766, 1008, 1315, 1702, 2191, 2804, 3566, 4512, 5683, 7126, 8897, 11061, 13700, 16913, 20807, 25510, 31183, 38009, 46198, 56002, 67713, 81671, 98276, 117989, 141349, 168984, 201609, 240058, 285310, 338480 (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^(7/2) * 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(6, 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=6 of A292622.

Sequence in context: A212905 A191117 A265389 * A274848 A201020 A088818

Adjacent sequences:  A320690 A320691 A320692 * A320694 A320695 A320696

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 19 2018

STATUS

approved

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Last modified July 17 14:44 EDT 2019. Contains 325106 sequences. (Running on oeis4.)