login
The OEIS is supported by
the many generous donors to the OEIS Foundation
.
Hints
(Greetings from
The On-Line Encyclopedia of Integer Sequences
!)
A316390
Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of three.
2
1, 3, 28, 130, 1263, 8090, 88101, 724189, 8887448, 89401804, 1229179691, 14638611036, 223711095367, 3078744103979, 51892788554614, 810254535452378, 14955918856848519, 261173044555806630, 5245841953983851853, 101285541723126490941, 2201267668629421856324
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
3,2
LINKS
Alois P. Heinz,
Table of n, a(n) for n = 3..458
FORMULA
a(n) =
A262165
(n) -
A262164
(n).
MAPLE
b:= proc(u, o, c, k) option remember;
`if`(c<0 or c>k, 0, `if`(u+o=0, 1,
add(b(u-j, o-1+j, c+1, k), j=1..u)+
add(b(u+j-1, o-j, c-1, k), j=1..o)))
end:
a:= n-> b(n, 0$2, 3)-b(n, 0$2, 2):
seq(a(n), n=3..23);
CROSSREFS
Column k=3 of
A258829
.
Cf.
A262164
,
A262165
.
Sequence in context:
A338791
A100019
A053132
*
A048367
A095665
A145346
Adjacent sequences:
A316387
A316388
A316389
*
A316391
A316392
A316393
KEYWORD
nonn
AUTHOR
Alois P. Heinz
, Jul 01 2018
STATUS
approved
Lookup
|
Welcome
|
Wiki
|
Register
|
Music
|
Plot 2
|
Demos
|
Index
|
Browse
|
More
|
WebCam
Contribute new seq. or comment
|
Format
|
Style Sheet
|
Transforms
|
Superseeker
|
Recents
The OEIS Community
| Maintained by
The OEIS Foundation Inc.
License Agreements, Terms of Use, Privacy Policy.
.
Last modified May 2 23:14 EDT 2024. Contains 372203 sequences. (Running on oeis4.)