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A320697 Number of partitions of n with up to ten distinct kinds of 1. 2
1, 10, 46, 131, 267, 439, 654, 956, 1394, 2002, 2817, 3897, 5320, 7179, 9587, 12687, 16652, 21687, 28048, 36051, 46066, 58534, 73998, 93113, 116649, 145513, 180793, 223800, 276077, 339417, 415942, 508179, 619090, 752128, 911336, 1101444, 1327973, 1597358 (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^(15/2) * 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(10, 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=10 of A292622.

Sequence in context: A082604 A281550 A248575 * A081583 A244246 A288117

Adjacent sequences:  A320694 A320695 A320696 * A320698 A320699 A320700

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 19 2018

STATUS

approved

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Last modified November 19 03:48 EST 2019. Contains 329310 sequences. (Running on oeis4.)