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A168656 Number of partitions of n such that the smallest part is divisible by the number of parts. 4
1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 6, 7, 7, 8, 10, 11, 13, 15, 18, 20, 23, 25, 29, 33, 36, 41, 47, 53, 58, 66, 74, 83, 92, 103, 116, 130, 144, 160, 179, 199, 219, 243, 269, 298, 328, 362, 399, 441, 484, 533, 586, 645, 708, 778, 854, 937, 1026, 1124, 1230, 1347, 1470, 1607, 1756, 1917, 2089 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..66.

FORMULA

G.f.: Sum(x^(k^2)/(1-x^(k^2))/Product(1-x^i,i=1..k-1),k=1..infinity).

PROG

(PARI)

N=100; x='x+O('x^N);

Vec( sum(k=1, N, x^(k^2)/(1-x^(k^2)) / prod(i=1, k-1, 1-x^i) ) )

CROSSREFS

Cf. A079501, A168655.

Sequence in context: A241086 A194818 A029081 * A005862 A293254 A046052

Adjacent sequences:  A168653 A168654 A168655 * A168657 A168658 A168659

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Dec 01 2009, Dec 04 2009

STATUS

approved

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Last modified June 25 09:48 EDT 2019. Contains 324347 sequences. (Running on oeis4.)