A171205 G.f. satisfies: A(x) = (1 + x*A(2x))^5.

1, 5, 60, 1410, 62505, 5284401, 868838010, 281703950040, 181448450339760, 232989133846286240, 597389845561440183360, 3061032714235774931187200, 31357237236616342838622807040, 642321739861948533960660029617920, 26312068694834430629292373404100369920, 2155589935049851254662487477552439610480640

Offset: 0

Author

Paul D. Hanna, Dec 05 2009

Keywords

• nonn

Crossrefs

Cf. A135868, A171200-A171203, A171204, A171206-A171211.

Programs

Mathematica

terms = 16; A[] = 0; Do[A[x] = (1 + x*A[2x])^5 + O[x]^terms // Normal, terms]; CoefficientList[A[x], x] (* Stefano Spezia, Apr 02 2025 *)

PARI

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

Formula

Self-convolution 5th power of A171204 where a(n) = A171204(n+1)/2^n for n>=0.

Extensions

a(14)-a(15) from Stefano Spezia, Apr 02 2025