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Sum of n and partition number of n.
10

%I #23 Jun 26 2022 16:53:43

%S 1,2,4,6,9,12,17,22,30,39,52,67,89,114,149,191,247,314,403,509,647,

%T 813,1024,1278,1599,1983,2462,3037,3746,4594,5634,6873,8381,10176,

%U 12344,14918,18013,21674,26053,31224,37378,44624,53216

%N Sum of n and partition number of n.

%H G. C. Greubel, <a href="/A133041/b133041.txt">Table of n, a(n) for n = 0..5000</a>

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

%F a(n) = A207779(A000041(n)), n >= 1. - _Omar E. Pol_, Jul 17 2014

%t Table[n+PartitionsP[n],{n,0,50}] (* _Harvey P. Dale_, Jul 17 2014 *)

%o (PARI) a(n)=numbpart(n)+n \\ _Charles R Greathouse IV_, Jan 06 2016

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

%Y Cf. A000041 (the partition numbers).

%Y Partial sums of A232697.

%K nonn

%O 0,2

%A _Omar E. Pol_, Oct 29 2007