|
Search: id:A141154
|
|
|
| A141154 |
|
L.g.f.: A(x) = log( 1 + Sum_{n>=1} (n-1)!*x^n ) = Sum_{n>=1} a(n)*x^n/n. |
|
+0 1
|
|
| 1, 1, 4, 17, 91, 574, 4173, 34353, 316012, 3214181, 35832567, 434643518, 5700340569, 80391481045, 1213353891124, 19516682949217, 333307249446083, 6023617863581806, 114854054775272053, 2304312940318519977
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
EXAMPLE
|
L.g.f.: A(x) = x + x^2/2 + 4*x^3/3 + 17*x^4/4 + 91*x^5/5 + 574*x^6/6 +...
exp(A(x)) = 1 + x + x^2 + 2*x^3 + 6*x^4 + 24*x^5 + 120*x^6 +...
|
|
PROGRAM
|
(PARI) {a(n)=polcoeff(x*deriv(log(Ser(concat(1, vector(n+1, k, (k-1)!))))), n)}
|
|
CROSSREFS
|
Adjacent sequences: A141151 A141152 A141153 this_sequence A141155 A141156 A141157
Sequence in context: A135168 A058279 A143405 this_sequence A112354 A020011 A067084
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 11 2008
|
|
|
Search completed in 0.002 seconds
|