|
Search: id:A141152
|
|
|
| A141152 |
|
L.g.f.: A(x) = log( 1 + Sum_{n>=1} n^(n-1)*x^n ) = Sum_{n>=1} a(n)*x^n/n. |
|
+0 2
|
|
| 1, 3, 22, 219, 2771, 42432, 762539, 15736131, 366842002, 9536745963, 273601703035, 8587640290656, 292752138541643, 10772040284616075, 425539049950420682, 17963758770051942339, 807032690733694275307
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
EXAMPLE
|
L.g.f.: A(x) = x + 3*x^2/2 + 22*x^3/3 + 219*x^4/4 + 2771*x^5/5 +...
exp(A(x)) = 1 + x + 2*x^2 + 9*x^3 + 64*x^4 + 625*x^5 + 7776*x^6 +...
|
|
PROGRAM
|
(PARI) {a(n)=polcoeff(x*deriv(log(Ser(concat(1, vector(n+1, k, k^(k-1)))))), n)}
|
|
CROSSREFS
|
Cf. A141151.
Sequence in context: A006783 A001409 A079489 this_sequence A073530 A120667 A161567
Adjacent sequences: A141149 A141150 A141151 this_sequence A141153 A141154 A141155
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 11 2008
|
|
|
Search completed in 0.002 seconds
|