A085543 Number of divisors of the partition numbers (A000041).

1, 1, 2, 2, 2, 2, 2, 4, 4, 8, 8, 8, 4, 2, 8, 10, 8, 8, 8, 12, 8, 24, 8, 4, 18, 8, 24, 16, 12, 8, 12, 8, 12, 18, 8, 12, 2, 8, 12, 40, 24, 16, 8, 20, 12, 8, 16, 24, 8, 12, 8, 12, 32, 12, 32, 24, 8, 8, 24, 48, 8, 32, 24, 8, 32, 4, 56, 4, 24, 8, 48, 8, 8, 8, 48, 128, 4, 2, 24, 24, 36, 4, 32, 8, 48

Offset

0,3

Links

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

Formula

a(n) = A000005(A000041(n)). - Omar E. Pol, Jan 25 2009

Mathematica

DivisorSigma[0, PartitionsP[Range[0, 90]]] (* Harvey P. Dale, Dec 09 2024 *)

Prog

(PARI) a(n)={numdiv(numbpart(n))} \\ Andrew Howroyd, Dec 28 2017

Crossrefs

Cf. A000005, A000041. - Omar E. Pol, Jan 25 2009

Sequence in context: A054537 A029104 A332886 * A294226 A083499 A029103

Adjacent sequences: A085540 A085541 A085542 * A085544 A085545 A085546

Keyword

nonn

Author

Jason Earls, Jul 03 2003

Status

approved