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%I #25 Sep 08 2022 08:45:11
%S 1,5,13,29,54,97,161,257,402,604,896,1299,1866,2616,3665,5031,6891,
%T 9290,12498,16600,22008,28841,37740,48919,63294,81230,104048,132355,
%U 168048,212070,267105,334671,418486,520857,647081,800531,988510,1216159
%N Convolution of A000203 with partition function (A000041) of positive integers.
%C Another version of the convolution of A000203 but starting from A000041(0) = 1 is given by the nonzero terms of A066186. - _Omar E. Pol_, Feb 13 2021
%H Harvey P. Dale, <a href="/A086732/b086732.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) = (n+1)*A000041(n+1) - A000203(n+1). - _Vladeta Jovovic_, Apr 08 2006
%F a(n) = A066186(n+1) - A000203(n+1). - _Omar E. Pol_, Feb 13 2021
%t Table[n PartitionsP[n]-DivisorSigma[1,n],{n,2,40}] (* _Harvey P. Dale_, Jun 28 2012 *)
%o (Magma) [ (n+1)*NumberOfPartitions(n+1)-SumOfDivisors(n+1): n in [1..38] ]; // _Klaus Brockhaus_, Jul 07 2009
%o (PARI) a(n) = (n+1)*numbpart(n+1) - sigma(n+1); \\ _Michel Marcus_, Feb 19 2018
%Y Cf. A000041, A066186, A000203, A162329.
%K nonn
%O 1,2
%A _Jon Perry_, Jul 29 2003
%E More terms from _Klaus Brockhaus_, Jul 07 2009
%E Definition clarified by _Omar E. Pol_, Feb 13 2021