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%I #14 Oct 31 2017 13:32:33
%S 1,-1,-1,-55,217,-2441,41911,-343519,10531025,-123024817,2722259791,
%T -64395229031,1218005521129,-36874422541945,785879799954887,
%U -25331247487596751,708096286059632161,-21422225147712360929,741754828422824400415
%N E.g.f.: exp(-Sum_{n>=1} A050999(n) * x^n).
%H Seiichi Manyama, <a href="/A294461/b294461.txt">Table of n, a(n) for n = 0..424</a>
%F a(0) = 1 and a(n) = (-1) * (n-1)! * Sum_{k=1..n} k*A050999(k)*a(n-k)/(n-k)! for n > 0.
%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(-sum(k=1, N, sumdiv(k, d, d^2*(d%2))*x^k))))
%Y E.g.f.: exp(-Sum_{n>=1} (Sum_{d|n and d is odd} d^k) * x^n): A294459 (k=0), A294460 (k=1), this sequence (k=2).
%Y Cf. A050999, A285069, A294395.
%K sign
%O 0,4
%A _Seiichi Manyama_, Oct 31 2017
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