A151676 - OEIS

A151676

Let c(n) = x^(2^n-1)*(1-x^(2^n)), g(n) = 1 + x^(2^n-1) + x^(2^n), h(n) = Product_{i=1..n} g(i); then use g.f. Sum_{n>=1} c(n)/h(n).

%I #6 Jan 04 2021 03:49:54

%S 0,1,-1,0,1,-1,-1,1,0,0,2,-1,-2,0,-2,1,5,1,-1,-3,-7,-1,8,8,6,-3,-18,

%T -16,0,17,31,21,-19,-51,-47,-3,70,106,48,-71,-170,-156,18,243,318,132,

%U -253,-564,-455,130,819,1024,341,-952,-1849,-1355,606,2789,3199,727,-3410,-5979,-3932,2678,9408,9926,1281,-12047

%N Let c(n) = x^(2^n-1)*(1-x^(2^n)), g(n) = 1 + x^(2^n-1) + x^(2^n), h(n) = Product_{i=1..n} g(i); then use g.f. Sum_{n>=1} c(n)/h(n).

%Y Cf. A151684.

%K sign

%O 0,11

%A _N. J. A. Sloane_, May 31 2009