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A321116 Number of permutations p of [n] such that in 0p the largest up-jump equals nine xx and no down-jump is larger than 2. 2
672, 5454, 40272, 283688, 1948408, 13188482, 88469166, 589852620, 3914957358, 25886899652, 170722453774, 1123938295984, 7390061858416, 48546948619410, 318711158282218, 2091405520367970, 13719823343200698, 89986405527666712, 590148303249975384 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 9..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))(9):

seq(a(n), n=9..30);

CROSSREFS

Column k=9 of A291680.

Sequence in context: A231740 A245778 A245786 * A234481 A234476 A340864

Adjacent sequences:  A321113 A321114 A321115 * A321117 A321118 A321119

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 27 2018

STATUS

approved

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Last modified September 24 23:43 EDT 2022. Contains 356951 sequences. (Running on oeis4.)