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A316397
Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of ten.
2
1, 10, 4127, 45562, 4719041, 58003461, 3795919780, 52052335254, 2772611610514, 42268105493955, 2037044419366071, 34333238955892416, 1578674337291922196, 29239755067140936242, 1321207703588407017510, 26733500408009431631728, 1208079945873987947779946
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OFFSET
10,2
LINKS
Alois P. Heinz,
Table of n, a(n) for n = 10..451
FORMULA
a(n) =
A262172
(n) -
A262171
(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, 10)-b(n, 0$2, 9):
seq(a(n), n=10..26);
CROSSREFS
Column k=10 of
A258829
.
Cf.
A262171
,
A262172
.
Sequence in context:
A249851
A024139
A320983
*
A291332
A294747
A199354
Adjacent sequences:
A316394
A316395
A316396
*
A316398
A316399
A316400
KEYWORD
nonn
AUTHOR
Alois P. Heinz
, Jul 01 2018
STATUS
approved
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Last modified August 29 16:10 EDT 2024. Contains 375517 sequences. (Running on oeis4.)