|
%I #4 Mar 28 2018 15:21:14
%S 1,-1,0,0,6,-16,16,-34,217,-681,1343,-3466,13370,-42380,109477,
%T -312448,1040248,-3267138,9447529,-28367596,90504001,-283611105,
%U 861087913,-2654231074,8386506600,-26359974392,81902319183,-256179313766,809890745232,-2557697524240,8046530976599
%N G.f. A(x) satisfies: A(x) = Product_{k>=1} 1/(1 + x^k*A(x)^k)^k.
%F G.f. satisfies: A(x) = exp(Sum_{k>=1} (-1)^k*x^k*A(x)^k/(k*(1 - x^k*A(x)^k)^2)).
%F a(n) = [x^n] (Sum_{k>=0} A255528(k)*x^k)^(n+1)/(n + 1).
%e G.f. A(x) = 1 - x + 6*x^4 - 16*x^5 + 16*x^6 - 34*x^7 + 217*x^8 - 681*x^9 + 1343*x^10 - 3466*x^11 + ...
%e log(A(x)) = -x - x^2/2 - x^3/3 + 23*x^4/4 - 51*x^5/5 + 35*x^6/6 - 197*x^7/7 + ... + A281266(n)*x^n/n + ...
%Y Cf. A109085, A181315, A255528, A281266, A301455, A301456, A301624.
%K sign
%O 0,5
%A _Ilya Gutkovskiy_, Mar 27 2018
|
