A179323 G.f.: A(x) = G(G(x)) where G(x) = x*exp( Sum_{n>=1} A(x^n)/n ).

1, 2, 8, 38, 212, 1309, 8818, 63599, 486431, 3914297, 32957543, 289117257, 2633818459, 24851646254, 242360970744, 2438642027680, 25279637797827, 269638473505847, 2955984372213381, 33274178272368580, 384251966241266988

Offset

1,2

Links

Table of n, a(n) for n=1..21.

Example

G.f.: A(x) = x + 2*x^2 + 8*x^3 + 38*x^4 + 212*x^5 + 1309*x^6 +...
G(x) = x + x^2 + 3*x^3 + 11*x^4 + 52*x^5 + 280*x^6 + 1705*x^7 + 11275*x^8 + 80120*x^9 + 604111*x^10 +...+ A179322(n)*x^n +...
log(G(x)/x) = A(x) + A(x^2)/2 + A(x^3)/3 + A(x^4)/4 + A(x^5)/5 + A(x^6)/6 +...+ A(x^n)/n +...
log(G(x)/x) = x + 5*x^2/2 + 25*x^3/3 + 157*x^4/4 + 1061*x^5/5 + 7883*x^6/6 + 61727*x^7/7 + 508949*x^8/8 +...+ A179324(n)*x^n/n +...

Prog

(PARI) {a(n)=local(A=x); for(i=1, n, A=x*exp(sum(m=1, n, subst(A, x, (subst(A, x, x^m+x*O(x^n))))/m))); polcoeff(subst(A, x, A), n)}

Crossrefs

Cf. A179322, A179324.

Sequence in context: A192784 A108246 A020031 * A001340 A275707 A058786

Adjacent sequences: A179320 A179321 A179322 * A179324 A179325 A179326

Keyword

nonn

Author

Paul D. Hanna, Jul 16 2010

Status

approved