0,3

Series reversion of x(Sum_{k>=0} a(k)x^k) is x(Sum_{k>=0} A003168(k)x^k).

G.f. A(x)=Sum_{k>=0} a(k)x^k satisfies 0=2x-(x+1)*A(x)+A(x)^2.

G.f.: (1+x+sqrt(1-6x+x^2))/2. (=1/g.f. A001003)

(PARI) a(n)=polcoeff((1+x+sqrt(1-6*x+x^2+x*O(x^n)))/2, n)

A minor variation of A006318. a(n)=-A006318(n-1), n>0. a(n)=A085403(n), n>1.

Sequence in context: A049136 A049126 A049134 this_sequence A006318 A103137 A053617

Adjacent sequences: A086453 A086454 A086455 this_sequence A086457 A086458 A086459

sign

Michael Somos, Jul 20 2003