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 A316393 Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of six. 2
 1, 6, 261, 1890, 52022, 455231, 11174035, 116105272, 2810232512, 34036483163, 844691910962, 11731978216291, 303637667232802, 4769379288424677, 129700918311614279, 2277005590881369266, 65261900211279910831, 1267764017301809851710, 38324737795523150842616 (list; graph; refs; listen; history; text; internal format)
 OFFSET 6,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 6..452 FORMULA a(n) = A262168(n) - A262167(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, 6)-b(n, 0\$2, 5): seq(a(n), n=6..24); CROSSREFS Column k=6 of A258829. Cf. A262167, A262168. Sequence in context: A015020 A225166 A003384 * A332126 A229579 A033289 Adjacent sequences: A316390 A316391 A316392 * A316394 A316395 A316396 KEYWORD nonn AUTHOR Alois P. Heinz, Jul 01 2018 STATUS approved

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Last modified March 31 17:28 EDT 2023. Contains 361668 sequences. (Running on oeis4.)