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A374963 a(n) = Sum_{k=1..n-1} sigma(k)*sigma_3(n-k). 2

%I #9 Aug 11 2024 11:52:14

%S 0,1,12,59,200,526,1184,2399,4368,7656,12316,19586,29008,43244,60272,

%T 85543,114000,156163,200652,266504,333968,432570,528704,673706,806200,

%U 1008644,1192584,1467684,1707328,2084676,2390848,2882487,3286168,3913722,4409584,5237489

%N a(n) = Sum_{k=1..n-1} sigma(k)*sigma_3(n-k).

%C Convolution of sigma with sigma_3.

%t Table[Sum[DivisorSigma[1,k] *DivisorSigma[3,n-k],{k,n-1}],{n,36}] (* _James C. McMahon_, Aug 11 2024 *)

%o (Python)

%o from sympy import divisor_sigma

%o def A374963(n): return sum(divisor_sigma(i)*divisor_sigma(n-i,3) for i in range(1,n))

%Y Cf. A000203, A000385, A001158.

%K nonn,easy

%O 1,3

%A _Chai Wah Wu_, Jul 25 2024

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Last modified September 13 17:14 EDT 2024. Contains 375910 sequences. (Running on oeis4.)