A110156 - OEIS

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A110156

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

1, 2, 8, 26, 106, 350, 1512, 5110, 21476, 77886, 319148, 1141038, 4910266, 17499058, 72541048, 272237050, 1121013506, 4112829790, 17377874692, 63697436318, 265450712278, 1003409368250, 4102752994248, 15321419162722, 64725434306768

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

EXAMPLE

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

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

PROG

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

CROSSREFS

Cf. A110152, A110153, A110154, A110155.

Sequence in context: A281345 A348240 A128238 * A295934 A187151 A150674

Adjacent sequences: A110153 A110154 A110155 * A110157 A110158 A110159

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 14 2005

STATUS

approved