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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-Fran├žois 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.)