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 A321114 Number of permutations p of [n] such that in 0p the largest up-jump equals seven and no down-jump is larger than 2. 2
 74, 528, 3550, 23284, 151096, 974472, 6252218, 39892080, 253727936, 1611713082, 10230277342, 64911693746, 411813289010, 2612751224650, 16579665387410, 105238154698686, 668214471729004, 4244427360639456, 26970709343926262, 171451330997483406, 1090351846894142818 (list; graph; refs; listen; history; text; internal format)
 OFFSET 7,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 7..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))(7): seq(a(n), n=7..30); CROSSREFS Column k=7 of A291680. Sequence in context: A238022 A296025 A204362 * A205584 A280402 A250913 Adjacent sequences:  A321111 A321112 A321113 * A321115 A321116 A321117 KEYWORD nonn AUTHOR Alois P. Heinz, Oct 27 2018 STATUS approved

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Last modified August 13 20:26 EDT 2022. Contains 356107 sequences. (Running on oeis4.)