A283337 - OEIS

%I #13 Mar 08 2017 06:57:42

%S 1,-1,-64,-665,-1351,33111,408149,1959491,-4502590,-149420286,

%T -1182474566,-3678670450,22384197409,377982157035,2474860645111,

%U 6161653683590,-48899064011245,-695916857379611,-4275491639488601,-10750056317745704,69316545348329853

%N Expansion of exp( Sum_{n>=1} -sigma_7(n)*x^n/n ) in powers of x.

%H Seiichi Manyama, <a href="/A283337/b283337.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: Product_{n>=1} (1 - x^n)^(n^6).

%F a(n) = -(1/n)*Sum_{k=1..n} sigma_7(k)*a(n-k).

%Y Column k=6 of A283272.

%Y Cf. A023875 (exp( Sum_{n>=1} sigma_7(n)*x^n/n )).

%Y 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), this sequence (k=7), A283338 (k=8), A283339 (k=9), A283340 (k=10).

%K sign

%O 0,3

%A _Seiichi Manyama_, Mar 05 2017