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Expansion of Product_{n>=1} ((1 - (8*x)^n)/(1 + (8*x)^n))^(1/8).
3

%I #7 Apr 23 2018 18:52:48

%S 1,-2,-14,-140,-586,-5628,-44492,-187864,-482906,-17262828,-37958116,

%T 65242328,-2453533124,21817485480,113877127592,-2570293967536,

%U 28064994368262,169252831757492,-188223954450804,12624245609040632,54083158292451540,-158891267358816264

%N Expansion of Product_{n>=1} ((1 - (8*x)^n)/(1 + (8*x)^n))^(1/8).

%o (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, ((1-(8*x)^k)/(1+(8*x)^k))^(1/8)))

%Y Expansion of Product_{n>=1} ((1 + (2^b*x)^n)/(1 - (2^b)*x^n))^(1/(2^b)): A002448 (b=0), A303306 (b=1), A303394 (b=2), this sequence (b=3).

%Y Cf. A303381.

%K sign

%O 0,2

%A _Seiichi Manyama_, Apr 23 2018