|
Search: id:A141369
|
|
|
| A141369 |
|
E.g.f. satisfies: A(x) = exp(x*A(-x)). |
|
+0 1
|
|
| 1, 1, -1, -8, 21, 336, -1445, -35328, 212009, 7010560, -54073449, -2258780160, 21303275389, 1076400869376, -12005345614093, -712084337721344, 9169911825026385, 624667885401341952, -9122376282532978769, -701910552416102645760, 11462725659070874233061
(list; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
FORMULA
|
E.g.f.: A(x) = exp(x*exp(-x*exp(x*exp(-x*exp(x*...))))).
a(n+1) = Sum_{i=0..n} (i+1)*(-1)^i*binomial(n,i)*a(i)*a(n-i) - from a formula given in A096538 by Vladeta Jovovic (vladeta(AT)Eunet.yu).
|
|
EXAMPLE
|
E.g.f.: A(x) = 1 + x - x^2/2! - 8*x^3/3! + 21*x^4/4! + 336*x^5/5! --++...
Log(A(x)) = x - x^2 - x^3/2! + 8*x^4/3! + 21*x^4/4! - 336*x^5/5! -++-...
|
|
PROGRAM
|
(PARI) {a(n)=local(A=1); for(i=0, n, A=exp((-1)^(n-i)*x*A+x*O(x^n))); n!*polcoeff(A, n)}
|
|
CROSSREFS
|
Cf. A096538.
Adjacent sequences: A141366 A141367 A141368 this_sequence A141370 A141371 A141372
Sequence in context: A096018 A054855 A100903 this_sequence A060390 A019281 A013630
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 28 2008
|
|
|
Search completed in 0.002 seconds
|