A294620 - OEIS

%I #12 Nov 08 2017 09:17:06

%S 1,-1,-2,-1,-3,7,-12,32,-10,-15,77,187,-760,846,1382,-4197,1371,6650,

%T -9991,19220,-32439,-80889,290596,127853,-1372003,913414,3253746,

%U -6728692,2302327,14461937,-46087740,66588519,15702643,-357119564,752905288,310992687

%N Expansion of Product_{k>0} (1 - k^2*x^k)^(1/k).

%H Seiichi Manyama, <a href="/A294620/b294620.txt">Table of n, a(n) for n = 0..3155</a>

%F a(0) = 1 and a(n) = -(1/n) * Sum_{k=1..n} A073705(k)*a(n-k) for n > 0.

%o (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-k^2*x^k)^(1/k)))

%Y Cf. A073705, A151954.

%K sign

%O 0,3

%A _Seiichi Manyama_, Nov 05 2017