|
Search: id:A097086
|
|
|
| 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
2
|
|
| 0, 1, 1, 0, 1, -5, 9, 287, -4455, 84249, -284515, -35428349, 814639275, -3434408341, -1338006522699, 6133774365735, 413520124707781, -45122925184812203, -231704968682873565, 102526632234397695073, -2030875572224787003585, -76894817276627723872401
(list; graph; listen)
|
|
|
OFFSET
|
0,6
|
|
|
COMMENT
|
A097087 lists the exponents of 2 that form the unreduced denominators.
|
|
FORMULA
|
E.g.f.: F(x) = Sum_{n>=0} a(n)/2^A097087(n)*x^n/n! where F(F(x)) = x*exp(x).
|
|
PROGRAM
|
(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: A092584 A002657 A046093 this_sequence A109076 A101683 A098135
Adjacent sequences: A097083 A097084 A097085 this_sequence A097087 A097088 A097089
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jul 23 2004
|
|
|
Search completed in 0.002 seconds
|
