|
Search: id:A008826
|
|
|
| A008826 |
|
Triangle of coefficients from fractional iteration of e^x - 1. |
|
+0
4
|
|
| 1, 1, 3, 1, 13, 18, 1, 50, 205, 180, 1, 201, 1865, 4245, 2700, 1, 875, 16674, 74165, 114345, 56700, 1, 4138, 155477, 1208830, 3394790, 3919860, 1587600, 1, 21145, 1542699, 19800165, 90265560, 182184030, 167310360, 57153600, 1, 115973
(list; table; graph; listen)
|
|
|
OFFSET
|
2,3
|
|
|
REFERENCES
|
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 148.
|
|
FORMULA
|
G.f. A(n;x) for n-th row satisfies A(n;x) = Sum_{k=0..n-1} Stirling2(n, k)*A(k;x)*x, A(1;x) = 1. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 02 2004
|
|
EXAMPLE
|
1; 1,3; 1,13,18; 1,50,205,180; ...
|
|
CROSSREFS
|
Diagonals give A008827, A006472, A059355. Row sums is A005121.
Sequence in context: A133171 A133177 A053286 this_sequence A103440 A116483 A010290
Adjacent sequences: A008823 A008824 A008825 this_sequence A008827 A008828 A008829
|
|
KEYWORD
|
nonn,tabl,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 02 2004
|
|
|
Search completed in 0.002 seconds
|
