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A283340 Expansion of exp( Sum_{n>=1} -sigma_10(n)*x^n/n ) in powers of x.

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%I A283340 #14 Mar 08 2017 06:57:34
%S A283340 1,-1,-512,-19171,-111645,8255899,287477144,3248973702,-56353404842,
%T A283340 -2946880278857,-50078654012311,-24091665240825,19437354184565824,
%U A283340 486126425619195338,4607922953609319032,-63107867988829247005,-3101395214088243725145
%N A283340 Expansion of exp( Sum_{n>=1} -sigma_10(n)*x^n/n ) in powers of x.
%H A283340 Seiichi Manyama, <a href="/A283340/b283340.txt">Table of n, a(n) for n = 0..1000</a>
%F A283340 G.f.: Product_{n>=1} (1 - x^n)^(n^9).
%F A283340 a(n) = -(1/n)*Sum_{k=1..n} sigma_10(k)*a(n-k).
%Y A283340 Column k=9 of A283272.
%Y A283340 Cf. A023878 (exp( Sum_{n>=1} sigma_10(n)*x^n/n )).
%Y A283340 Cf. exp( Sum_{n>=1} -sigma_k(n)*x^n/n ): A010815 (k=1), A073592 (k=2), A283263 (k=3), A283264 (k=4), A283271 (k=5), A283336 (k=6), A283337 (k=7), A283338 (k=8), A283339 (k=9), this sequence (k=10).
%K A283340 sign
%O A283340 0,3
%A A283340 _Seiichi Manyama_, Mar 05 2017