A110156 - OEIS

%I #3 Mar 30 2012 18:36:49

%S 1,2,8,26,106,350,1512,5110,21476,77886,319148,1141038,4910266,

%T 17499058,72541048,272237050,1121013506,4112829790,17377874692,

%U 63697436318,265450712278,1003409368250,4102752994248,15321419162722,64725434306768

%N G.f.: A(x) = Product_{n>=1} 1/(1 - 4^n*x^n)^(2/4^n); self-convolution equals A110154.

%e A(x) = 1 + 2*x + 8*x^2 + 26*x^3 + 106*x^4 + 350*x^5 +... =

%e 1/[(1-4*x)^(2/4)*(1-16*x^2)^(2/16)*(1-64*x^3)^(2/64)*...].

%o (PARI) a(n)=polcoeff(prod(k=1,n,1/(1-4^k*x^k+x*O(x^n))^(2/4^k)),n)

%Y Cf. A110152, A110153, A110154, A110155.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Jul 14 2005