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

Author

Jason Earls, Jul 03 2003

Keywords

• nonn

Links

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

Crossrefs

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

Programs

Mathematica

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

PARI

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

Formula

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