A244719 Number of compositions of n with exactly 7 transitions between different parts.

2, 22, 136, 618, 2278, 7180, 20140, 51100, 120046, 263192, 545644, 1075414, 2031190, 3690972, 6485546, 11052982, 18333194, 29664162, 46934548, 72757550, 110684340, 165506866, 243561442, 353198516, 505188930, 713484770, 995688310, 1374225240, 1876917926

Offset

12,1

Links

Alois P. Heinz, Table of n, a(n) for n = 12..900

Maple

b:= proc(n, v) option remember; `if`(n=0, [1, 0$7],
      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..7][]]), i=1..n))
    end:
a:= n-> b(n, 0)[8]:
seq(a(n), n=12..60);

Crossrefs

Column k=7 of A238279.

Sequence in context: A356341 A353191 A062180 * A084399 A067057 A202738

Adjacent sequences: A244716 A244717 A244718 * A244720 A244721 A244722

Keyword

nonn

Author

Joerg Arndt and Alois P. Heinz, Jul 04 2014

Status

approved