|
| |
|
|
A001261
|
|
Number of permutations of length n by rises.
(Formerly M4273 N1786)
|
|
4
|
|
|
|
1, 6, 63, 616, 6678, 77868, 978978, 13216104, 190899423, 2939850914, 48106651593, 833848627248, 15265844099324, 294412707629208, 5966764207952724, 126793739418994416, 2819296088257641741, 65470320271760790078
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
6,2
|
|
|
REFERENCES
|
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 263.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
LINKS
|
Table of n, a(n) for n=6..23.
|
|
|
FORMULA
|
E.g.f.: x^5/5!*exp(-x)/(1-x)^2. - Vladeta Jovovic, Jan 03 2003
|
|
|
MAPLE
|
a:=n->sum((n+3)!*sum((-1)^k/k!/5!, j=1..n), k=0..n): seq(a(n), n=2..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2007
|
|
|
CROSSREFS
|
Cf. A010027, A000255, A000166, A000274, A000313, A001260.
A diagonal in triangle A010027.
Sequence in context: A039937 A134112 A071588 * A210987 A132078 A113669
Adjacent sequences: A001258 A001259 A001260 * A001262 A001263 A001264
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
EXTENSIONS
|
More terms from Vladeta Jovovic, Jan 03 2003
|
|
|
STATUS
|
approved
|
| |
|
|
