|
|
A363479
|
|
E.g.f. satisfies A(x) = exp(x * A(x)^3 * (1 + x * A(x)^3)).
|
|
2
|
|
|
1, 1, 9, 160, 4381, 162816, 7663669, 437164288, 29317265625, 2260685099008, 197088986941921, 19170218777296896, 2058199476739788661, 241779221463040000000, 30847476924400409437389, 4247859315849037948911616, 627960846411135123552180529
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) = n! * Sum_{k=0..n} (3*n+1)^(k-1) * binomial(k,n-k)/k!.
|
|
PROG
|
(PARI) a(n) = n!*sum(k=0, n, (3*n+1)^(k-1)*binomial(k, n-k)/k!);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|