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A283244 Expansion of exp( Sum_{n>=1} sigma_3(3*n)*x^n/n ) in powers of x. 2

%I #13 Mar 04 2017 13:48:57

%S 1,28,518,7439,90517,972398,9472190,85145743,715281840,5668682493,

%T 42691867112,307312234334,2124355701646,14157081285263,91250293831492,

%U 570441761053192,3466874635995098,20526329624103412,118608374492197651,669949478060261642

%N Expansion of exp( Sum_{n>=1} sigma_3(3*n)*x^n/n ) in powers of x.

%H Seiichi Manyama, <a href="/A283244/b283244.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = (1/n)*Sum_{k=1..n} sigma_3(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), A283238 (k=2), this sequence (k=3).

%Y Cf. exp( Sum_{n>=1} sigma_3(m*n)*x^n/n ): A023871 (m=1), A282327 (m=2), this sequence (m=3).

%K nonn

%O 0,2

%A _Seiichi Manyama_, Mar 03 2017

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)