A244718 Number of compositions of n with exactly 6 transitions between different parts.

1, 8, 52, 225, 813, 2444, 6563, 15837, 35304, 73544, 144542, 270622, 485229, 838813, 1401911, 2277346, 3601229, 5565741, 8415746, 12487185, 18197114, 26097804, 36868409, 51383060, 70693900, 96130946, 129286606, 172104111, 226920654, 296516361, 384211698

Offset

10,2

Links

Alois P. Heinz, Table of n, a(n) for n = 10..900

Maple

b:= proc(n, v) option remember; `if`(n=0, [1, 0$6],
      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..6][]]), i=1..n))
    end:
a:= n-> b(n, 0)[7]:
seq(a(n), n=10..60);

Crossrefs

Column k=6 of A238279.

Sequence in context: A302816 A026963 A026973 * A303509 A107584 A323940

Adjacent sequences: A244715 A244716 A244717 * A244719 A244720 A244721

Keyword

nonn

Author

Joerg Arndt and Alois P. Heinz, Jul 04 2014

Status

approved