A133041 Sum of n and partition number of n.

1, 2, 4, 6, 9, 12, 17, 22, 30, 39, 52, 67, 89, 114, 149, 191, 247, 314, 403, 509, 647, 813, 1024, 1278, 1599, 1983, 2462, 3037, 3746, 4594, 5634, 6873, 8381, 10176, 12344, 14918, 18013, 21674, 26053, 31224, 37378, 44624, 53216

Offset: 0

Author

Omar E. Pol, Oct 29 2007

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000

Crossrefs

Cf. A001365, A014688, A064985, A090631, A102379.

Cf. A000041 (the partition numbers).

Partial sums of A232697.

Programs

Mathematica

Table[n+PartitionsP[n],{n,0,50}] (* Harvey P. Dale, Jul 17 2014 *)

PARI

a(n)=numbpart(n)+n \\ Charles R Greathouse IV, Jan 06 2016

Formula

a(n) = n + partition(n) = n + A000041(n).

a(n) = A207779(A000041(n)), n >= 1. - Omar E. Pol, Jul 17 2014