0,3

Compare to g.f. of Fibonacci sequence: exp( Sum_{n>=1} A000204(n)*x^n/n ), where A000204 is the Lucas numbers.

G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 14*x^4 + 40*x^5 + 159*x^6 +...

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

Cf. A156216, A156100, A159308, A000204.

Sequence in context: A148321 A007463 A159308 this_sequence A116846 A080558 A116844

Adjacent sequences: A163186 A163187 A163188 this_sequence A163190 A163191 A163192

nonn

Paul D. Hanna (pauldhanna(AT)juno.com), Jul 22 2009