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A133041 Sum of n and partition number of n. 8
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..42.

FORMULA

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

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

MATHEMATICA

lst={}; Do[AppendTo[lst, PartitionsP[n]+n], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jul 16 2009 *)

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

PROG

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

CROSSREFS

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

Cf. A000041 (the partition numbers).

Sequence in context: A001365 A102379 A238374 * A079492 A267161 A173784

Adjacent sequences:  A133038 A133039 A133040 * A133042 A133043 A133044

KEYWORD

nonn

AUTHOR

Omar E. Pol, Oct 29 2007

STATUS

approved

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Last modified August 24 04:58 EDT 2017. Contains 291052 sequences.