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%I #16 Mar 06 2017 19:49:41
%S 1,-10,25,53,-270,-77,1057,610,-2031,-5438,-1953,17236,34121,3351,
%T -103369,-195850,-55471,468448,1067785,764094,-1430780,-4974559,
%U -6242563,334620,16946199,34459888,29243953,-24503978,-124514921,-205795663,-140256312,191109263
%N Expansion of exp( Sum_{n>=1} -sigma_2(3*n)*x^n/n ) in powers of x.
%H Seiichi Manyama, <a href="/A283243/b283243.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
%o (PARI) A283243_vec(m)=Vec(exp(sum(n=1,m,-sigma(3*n,2)*x^n/n)+x*O(x^m))) \\ Yields m+1 terms a(0..m). - _M. F. Hasler_, Mar 05 2017
%Y Cf. A283237 (sigma_2(3*n)), A283238 (exp( Sum_{n>=1} sigma_2(3*n)*x^n/n )).
%Y Cf. exp( Sum_{n>=1} -sigma_k(3*n)*x^n/n ): A185654 (k=1), this sequence (k=2).
%Y Cf. exp( Sum_{n>=1} -sigma_2(m*n)*x^n/n ): A073592 (m=1), A283242 (m=2), this sequence (m=3).
%K sign
%O 0,2
%A _Seiichi Manyama_, Mar 03 2017
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