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 A244717 Number of compositions of n with exactly 5 transitions between different parts. 2
 2, 16, 78, 274, 814, 2058, 4752, 9930, 19574, 36186, 63924, 108078, 176672, 279260, 429800, 645222, 947142, 1363678, 1927532, 2681804, 3673786, 4967774, 6630024, 8752102, 11422254, 14770528, 18913112, 24022400, 30253734, 37831400, 46953628, 57914360, 70960394 (list; graph; refs; listen; history; text; internal format)
 OFFSET 9,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 9..900 MAPLE b:= proc(n, v) option remember; `if`(n=0, [1, 0\$5],       add(`if`(v in [0, i], b(n-i, `if`(i<=n-i, i, -1)),       [0, b(n-i, `if`(i<=n-i, i, -1))[1..5][]]), i=1..n))     end: a:= n-> b(n, 0)[6]: seq(a(n), n=9..60); MATHEMATICA b[n_, v_] := b[n, v] = If[n == 0, 1, Expand[Sum[b[n - i, i]*      If[v == 0 || v == i, 1, x], {i, n}]]]; a[n_] := Coefficient[b[n, 0], x, 5]; Table[a[n], {n, 9, 60}] (* Jean-François Alcover, Aug 29 2021, after A238279 Maple code *) CROSSREFS Column k=5 of A238279. Sequence in context: A323297 A034581 A028336 * A208102 A207723 A208835 Adjacent sequences:  A244714 A244715 A244716 * A244718 A244719 A244720 KEYWORD nonn AUTHOR Joerg Arndt and Alois P. Heinz, Jul 04 2014 STATUS approved

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Last modified January 18 11:57 EST 2022. Contains 350455 sequences. (Running on oeis4.)