0,2

G.f.: A(x) = Sum_{n>=0} (1 + 2^n*x) * log(1 + 2^n*x)^n/n!.

(PARI) {a(n)=polcoeff(sum(i=0, n, (1+2^i*x +x*O(x^n))*log(1+2^i*x +x*O(x^n))^i/i!), n)}

Cf. A014070 (C(2^n, n)), A136506 (C(2^n+2, n)); A136507.

Sequence in context: A158033 A027159 A136554 this_sequence A006311 A034792 A135457

Adjacent sequences: A136502 A136503 A136504 this_sequence A136506 A136507 A136508

nonn

Paul D. Hanna (pauldhanna(AT)juno.com), Jan 01 2008