|
Search: id:A125500
|
|
|
| A125500 |
|
Expansion of -LambertW(-x^2*exp(x))/x^2. |
|
+0
3
|
|
| 1, 1, 3, 13, 85, 701, 7261, 89125, 1277865, 20883385, 384194521, 7852225481, 176651705869, 4337650936789, 115468033349397, 3312409332578221, 101881034223806161, 3344745711740899697, 116747433680684736817
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
E.g.f.: A(x) = exp(x + x^2*A(x)). [From Paul D. Hanna (pauldhanna(AT)juno.com), Aug 30 2008]
|
|
EXAMPLE
|
E.g.f.: A(x) = 1 + x + 3*x^2/2! + 13*x^3/3! + 85*x^4/4! + 701*x^5/5! +... [From Paul D. Hanna (pauldhanna(AT)juno.com), Aug 30 2008]
|
|
PROGRAM
|
(PARI) {a(n)=local(Ex=exp(x+x*O(x^n)), W=Ex); for(k=0, n, W=exp(x*W)); n!*polcoeff(subst(W, x, x^2*Ex)*Ex, n)} - Paul D. Hanna (pauldhanna(AT)juno.com), Jan 02 2007
(PARI) {a(n)=local(A=1+x*O(x^n)); for(i=0, n, A=exp(x+x^2*A)); n!*polcoeff(A, n)} [From Paul D. Hanna (pauldhanna(AT)juno.com), Aug 30 2008]
|
|
CROSSREFS
|
Sequence in context: A123114 A104032 A130406 this_sequence A121679 A023037 A054420
Adjacent sequences: A125497 A125498 A125499 this_sequence A125501 A125502 A125503
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Vladeta Jovovic (vladeta(AT)Eunet.yu), Dec 27 2006
|
|
EXTENSIONS
|
More terms from Paul D. Hanna (pauldhanna(AT)juno.com), Jan 02 2007
|
|
|
Search completed in 0.002 seconds
|
