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A097086 Unreduced numerators of coefficients a(n)/2^A097087(n)*1/n! in function F(x) that satisfies F(F(x)) = x*exp(x). 1
0, 1, 1, 0, 1, -5, 9, 287, -4455, 84249, -284515, -35428349, 814639275, -3434408341, -1338006522699, 6133774365735, 413520124707781, -45122925184812203, -231704968682873565, 102526632234397695073, -2030875572224787003585, -76894817276627723872401 (list; graph; refs; listen; history; text; internal format)
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 A098135

Adjacent sequences:  A097083 A097084 A097085 * A097087 A097088 A097089

KEYWORD

sign

AUTHOR

Paul D. Hanna, Jul 23 2004

STATUS

approved

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Last modified January 22 09:52 EST 2019. Contains 319363 sequences. (Running on oeis4.)