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A321113 Number of permutations p of [n] such that in 0p the largest up-jump equals six and no down-jump is larger than 2. 2
26, 170, 1078, 6772, 42366, 263548, 1626122, 9993996, 61372356, 376754190, 2312742484, 14199997152, 87223775288, 536072840284, 3296748123732, 20287763348424, 124932460269594, 769857062164974, 4747179317544360, 29291823451184116, 180856995405347960 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..1000

MAPLE

b:= proc(u, o, k) option remember; `if`(u+o=0, 1,

      add(b(u-j, o+j-1, k), j=1..min(2, u))+

      add(b(u+j-1, o-j, k), j=1..min(k, o)))

    end:

a:= n-> (k-> b(0, n, k)-b(0, n, k-1))(6):

seq(a(n), n=6..30);

CROSSREFS

Column k=6 of A291680.

Sequence in context: A156339 A268331 A125336 * A126494 A027001 A173893

Adjacent sequences:  A321110 A321111 A321112 * A321114 A321115 A321116

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 27 2018

STATUS

approved

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Last modified August 14 13:43 EDT 2022. Contains 356117 sequences. (Running on oeis4.)