0,2

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

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

Cf. A014070 (C(2^n, n)), A136505 (C(2^n+1, n)); A136507.

Adjacent sequences: A136503 A136504 A136505 this_sequence A136507 A136508 A136509

Sequence in context: A081548 A009315 A027162 this_sequence A037447 A137654 A118908

nonn

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