A171195 G.f. satisfies A(x) = 1/(1 - x*A(2x)^5).

1, 1, 11, 281, 13731, 1245601, 213268203, 70580511385, 45914883339027, 59241954299963729, 152258885235304955131, 781096727709105092232777, 8006263111571482684378716067, 164048440920655457493139473502081

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..79

Formula

a(n) ~ c * 2^(n*(n-1)/2) * 5^n, where c = 0.444871440417987089861554304425221691031547... - Vaclav Kotesovec, Nov 03 2021

Mathematica

nmax = 15; A[_] = 0; Do[A[x_] = 1/(1 - x*A[2*x]^5) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x] (* Vaclav Kotesovec, Nov 03 2021 *)

Prog

(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1/(1-x*subst(A, x, 2*x)^5) ); polcoeff(A, n)}

Crossrefs

Cf. A015083, A171192-A171194, A171196-A171198.

Sequence in context: A210807 A129754 A103547 * A274780 A323311 A355428

Adjacent sequences: A171192 A171193 A171194 * A171196 A171197 A171198

Keyword

nonn

Author

Paul D. Hanna, Dec 05 2009

Status

approved