A139041 Sum of divisors of the number of partitions of n.

1, 3, 4, 6, 8, 12, 24, 36, 72, 96, 120, 96, 102, 240, 372, 384, 480, 576, 1026, 960, 2340, 2016, 1512, 3224, 3240, 6720, 6336, 6588, 6048, 13104, 11232, 12768, 17784, 22176, 22344, 17978, 27072, 35112, 69696, 87552, 74496, 87048, 104544, 97216, 137088, 214896

Offset: 1

Author

Omar E. Pol, Apr 16 2008

Keywords

• nonn

Examples

			a(7)=24 because the number of partitions of 7 is 15 and the sum of divisors of 15 is equal to 1 + 3 + 5 + 15 = 24.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000041, A000203, A139055.

Programs

Mathematica

DivisorSigma[1,PartitionsP[Range[50]]] (* Harvey P. Dale, Nov 27 2011 *)

PARI

a(n) = sigma(numbpart(n)); \\ Michel Marcus, Jun 01 2015

Formula

a(n) = sigma(A000041(n)) = A000203(A000041(n)).