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 A243231 Number of isoscent sequences of length n with exactly five ascents. 2
 53, 2751, 56905, 771451, 8134377, 72508373, 573143602, 4140884203, 27910175578, 178061795837, 1086790574778, 6397136152382, 36542124316824, 203563522508400, 1110216333288652, 5946996009211010, 31369110229193995, 163289639236069520, 840329677373681576 (list; graph; refs; listen; history; text; internal format)
 OFFSET 9,1 LINKS Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 9..100 MAPLE b:= proc(n, i, t) option remember; `if`(n<1, 1, expand(add( `if`(j>i, x, 1) *b(n-1, j, t+`if`(j=i, 1, 0)), j=0..t+1))) end: a:= n-> coeff(b(n-1, 0\$2), x, 5): seq(a(n), n=9..35); MATHEMATICA b[n_, i_, t_] := b[n, i, t] = If[n < 1, 1, Expand[Sum[ If[j > i, x, 1] *b[n - 1, j, t + If[j == i, 1, 0]], {j, 0, t + 1}]]]; a[n_] := Coefficient[b[n - 1, 0, 0], x, 5]; Table[a[n], {n, 9, 35}] (* Jean-François Alcover, Aug 27 2021, after Maple code *) CROSSREFS Column k=5 of A242351. Sequence in context: A221237 A059694 A263516 * A280357 A300406 A013542 Adjacent sequences: A243228 A243229 A243230 * A243232 A243233 A243234 KEYWORD nonn AUTHOR Joerg Arndt and Alois P. Heinz, Jun 01 2014 STATUS approved

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Last modified June 6 19:24 EDT 2023. Contains 363150 sequences. (Running on oeis4.)