A172402 G.f.: 1/(1-x) = Sum_{n>=0} a(n)*x^n/(1+x)^(2^(n+1)-2).

1, 1, 3, 16, 166, 3464, 146167, 12437880, 2127406440, 729774938584, 501412103054958, 689540993399039000, 1897244652767973627366, 10442429807446111573892528, 114961543001288361817819197405

Offset

0,3

Links

Table of n, a(n) for n=0..14.

Formula

Column 1 of triangle A172400.

Example

1/(1-x) = 1 + x/(1+x)^2 + 3*x^2/(1+x)^6 + 16*x^3/(1+x)^14 + 166*x^4/(1+x)^30 +...

Prog

(PARI) {a(n)=if(n==0, 1, polcoeff(-(1-x)*sum(m=0, n-1, a(m)*x^m/(1+x +x*O(x^n))^(2^(m+1)-2)), n))}

Crossrefs

Cf. A172400, A172401, A172403.

Sequence in context: A091146 A350415 A277458 * A297668 A203593 A304902

Adjacent sequences: A172399 A172400 A172401 * A172403 A172404 A172405

Keyword

nonn

Author

Paul D. Hanna, Feb 01 2010

Status

approved