|
%I #4 Aug 04 2021 16:42:04
%S 1,-1,-1,0,0,1,0,3,1,-1,-4,-10,3,0,9,19,9,2,-44,-27,-40,-3,95,75,156,
%T -36,-181,-274,-349,81,205,982,832,35,-596,-2587,-1803,-1259,2118,
%U 5876,5365,4922,-6811,-12175,-17181,-12932,14144,28575,53548,27663,-19181
%N G.f.: 1 / (1 + x + Sum_{k>=2} prime(k-1) * x^k).
%F a(0) = 1; a(n) = -Sum_{k=1..n} A008578(k) * a(n-k).
%t nmax = 50; CoefficientList[Series[1/(1 + x + Sum[Prime[k - 1] x^k, {k, 2, nmax}]), {x, 0, nmax}], x]
%Y Cf. A000040, A008578, A030017, A030018, A300662, A346791.
%K sign
%O 0,8
%A _Ilya Gutkovskiy_, Aug 04 2021
|
