|
| |
|
|
A045756
|
|
E.g.f. -1+(1-9*x)^(-1/9), 9-factorial numbers.
|
|
16
| |
|
|
1, 10, 190, 5320, 196840, 9054640, 498005200, 31872332800, 2326680294400, 190787784140800, 17361688356812800, 1736168835681280000, 189242403089259520000, 22330603564532623360000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
LINKS
| Index entries for sequences related to factorial numbers
|
|
|
FORMULA
| a(n+1)= (9*n+1)(!^9) := product(9*k+1, k=0..n), n >= 0; E.g.f. -1+(1-9*x)^(-1/9).
|
|
|
MAPLE
| restart: G(x):=-1+(1-9*x)^(-1/9): f[0]:=G(x): for n from 1 to 29 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=1..14); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2009]
|
|
|
MATHEMATICA
| s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 9, 2*5!, 9}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
|
|
|
CROSSREFS
| Cf. A008542.
Sequence in context: A131521 A113373 * A144772 A072387 A134633 A006436
Adjacent sequences: A045753 A045754 A045755 * A045757 A045758 A045759
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
|
| |
|
|
