|
|
A159603
|
|
G.f.: A(x) = Sum_{n>=0} log(1 + Sum_{k>=1} k^n*x^k )^n/n!.
|
|
0
|
|
|
1, 1, 2, 5, 16, 62, 312, 2001, 16796, 183416, 2634814, 49703026, 1240433524, 40975503423, 1803618092422, 105967390883387, 8362303039735026, 888404336012975536, 127771790716640691664, 24942884185805223709166
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
EXAMPLE
|
G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 16*x^4 + 62*x^5 +...
A(x) = Sum_{n>=0} log(1 + x + 2^n*x^2 + 3^n*x^3 + 4^n*x^4 +..)^n/n!
|
|
PROG
|
(PARI) {a(n)=polcoeff(sum(m=0, n, log(1+sum(k=1, n, k^m*x^k)+x*O(x^n))^m/m!), n)}
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|