|
Search: id:A141151
|
|
|
| A141151 |
|
L.g.f.: A(x) = log( Sum_{n>=0} n^n*x^n ) = Sum_{n>=1} a(n)*x^n/n. |
|
+0
2
|
|
| 1, 7, 70, 899, 14001, 255532, 5342541, 125876003, 3300437302, 95338188007, 3009043615073, 103043811158864, 3805827820399125, 150819894172935183, 6383815674758486310, 287459477551898694403, 13721584934214631377921
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
EXAMPLE
|
L.g.f.: A(x) = x + 7*x^2/2 + 70*x^3/3 + 899*x^4/4 + 14001*x^5/5 +...
exp(A(x)) = 1 + x + 4*x^2 + 27*x^3 + 256*x^4 + 3125*x^5 + 46656*x^6 +...
|
|
PROGRAM
|
(PARI) {a(n)=polcoeff(x*deriv(log(Ser(concat(1, vector(n+1, k, k^k))))), n)}
|
|
CROSSREFS
|
Cf. A141152.
Adjacent sequences: A141148 A141149 A141150 this_sequence A141152 A141153 A141154
Sequence in context: A027394 A113343 A124566 this_sequence A001669 A051604 A097630
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 11 2008
|
|
|
Search completed in 0.002 seconds
|
