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A283238 Expansion of exp( Sum_{n>=1} sigma_2(3*n)*x^n/n ) in powers of x. 4

%I #13 Mar 04 2017 11:42:33

%S 1,10,75,447,2335,10977,47667,193775,745819,2738568,9653342,32821384,

%T 108061167,345622069,1076767956,3275039352,9743874779,28405248949,

%U 81256123017,228383836091,631427595230,1718990010867,4612234492354,12206598044861,31889379237288

%N Expansion of exp( Sum_{n>=1} sigma_2(3*n)*x^n/n ) in powers of x.

%H Seiichi Manyama, <a href="/A283238/b283238.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = (1/n)*Sum_{k=1..n} sigma_2(3*k)*a(n-k). - _Seiichi Manyama_, Mar 04 2017

%Y Cf. exp( Sum_{n>=1} sigma_k(3*n)*x^n/n ): A182819 (k=1), this sequence (k=2).

%Y Cf. exp( Sum_{n>=1} sigma_2(m*n)*x^n/n ): A000219 (m=1), A283224 (m=2), this sequence (m=3).

%K nonn

%O 0,2

%A _Seiichi Manyama_, Mar 03 2017

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Last modified July 15 11:27 EDT 2024. Contains 374332 sequences. (Running on oeis4.)