

A258596


Number of divisors of the number of partitions of n into distinct parts, a(n) = A000005(A000009(n)).


1



1, 1, 1, 2, 2, 2, 3, 2, 4, 4, 4, 6, 4, 6, 4, 4, 6, 4, 4, 8, 7, 6, 2, 8, 4, 4, 8, 14, 8, 9, 8, 12, 16, 14, 10, 12, 6, 16, 24, 4, 8, 36, 8, 16, 8, 12, 27, 16, 16, 28, 8, 4, 8, 22, 8, 8, 6, 16, 16, 42, 32, 6, 8, 20, 6, 48, 12, 16, 28, 8, 2, 12, 20, 16, 12, 4, 32
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OFFSET

0,4


COMMENTS

a(n) is odd for n = 0, 1, 2, 6, 20, 29, 46, ... ; see A035142.  Michel Marcus, Jun 19 2015


LINKS

Giovanni Resta, Table of n, a(n) for n = 0..10000


FORMULA

a(n) = A000005(A000009(n)).


MATHEMATICA

DivisorSigma[0, PartitionsQ@ Range[0, 100]]


PROG

(PARI) a(n) = numdiv(polcoeff(prod(k=1, n, 1 + x^k, 1 + x * O(x^n)), n)); \\ Michel Marcus, Jun 19 2015


CROSSREFS

Cf. A000009, A085543.
Sequence in context: A286545 A046798 A157231 * A273784 A318058 A305434
Adjacent sequences: A258593 A258594 A258595 * A258597 A258598 A258599


KEYWORD

nonn


AUTHOR

Giovanni Resta, Jun 04 2015


STATUS

approved



