A097086 Unreduced numerators of coefficients a(n)/2^A097087(n)*1/n! in function F(x) that satisfies F(F(x)) = x*exp(x).

0, 1, 1, 0, 1, -5, 9, 287, -4455, 84249, -284515, -35428349, 814639275, -3434408341, -1338006522699, 6133774365735, 413520124707781, -45122925184812203, -231704968682873565, 102526632234397695073, -2030875572224787003585, -76894817276627723872401

Offset

0,6

Comments

A097087 lists the exponents of 2 that form the unreduced denominators.

Links

Table of n, a(n) for n=0..21.

Formula

E.g.f.: F(x) = Sum_{n>=0} a(n)/2^A097087(n)*x^n/n! where F(F(x)) = x*exp(x).

Prog

(PARI) {a(n)=local(A, B, F=x*exp(x+x^2*O(x^n))); A=F; for(i=0, n, B=serreverse(A); A=(A+subst(B, x, F))/2); numerator(n!*polcoeff(A, n, x))}

Crossrefs

Cf. A097087.

Sequence in context: A145400 A002657 A046093 * A109076 A101683 A348132

Adjacent sequences: A097083 A097084 A097085 * A097087 A097088 A097089

Keyword

sign

Author

Paul D. Hanna, Jul 23 2004

Status

approved