|
|
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
|
|
|
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
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|