A110154 G.f.: A(x) = Product_{n>=1} 1/(1 - 4^n*x^n)^(4/4^n); self-convolution of A110156.

1, 4, 20, 84, 380, 1540, 6796, 27380, 117020, 476260, 2002220, 8063316, 33957180, 136489156, 566211660, 2290272692, 9463603036, 38042178340, 157211980652, 631321594900, 2594532576636, 10457495255940, 42791736547980

Offset

0,2

Links

Table of n, a(n) for n=0..22.

Example

A(x) = 1 + 4*x + 20*x^2 + 84*x^3 + 380*x^4 + 1540*x^5 +... =
1/[(1-4*x)*(1-16*x^2)^(1/4)*(1-64*x^3)^(1/16)*(1-256*x^4)^(1/64)*...]

Prog

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

Crossrefs

Cf. A110152, A110153, A110155, A110156.

Sequence in context: A084240 A080674 A246936 * A158608 A282084 A262768

Adjacent sequences: A110151 A110152 A110153 * A110155 A110156 A110157

Keyword

nonn

Author

Paul D. Hanna, Jul 14 2005

Status

approved