A241722 Number of compositions of n into distinct parts with exactly three descents.

1, 1, 2, 3, 5, 32, 35, 63, 93, 148, 205, 589, 674, 1111, 1551, 2344, 3140, 4616, 8210, 10370, 14976, 20564, 28598, 38244, 52451, 68597, 105527, 131194, 180087, 234267, 316204, 404032, 538282, 683281, 893039, 1205430, 1516912, 1949691, 2506797, 3192751, 4039430

Offset

10,3

Links

Alois P. Heinz, Table of n, a(n) for n = 10..1000

Example

a(14) = 5: [5,4,3,2], [8,3,2,1], [6,5,2,1], [7,4,2,1], [6,4,3,1].
a(15) = 32: [7,5,2,1], [9,3,2,1], [6,5,3,1], [7,4,3,1], [8,4,2,1], [6,4,3,2], [4,3,2,5,1], [3,5,4,2,1], [4,3,5,2,1], [5,2,4,3,1], [2,5,4,3,1], [4,2,5,3,1], [5,4,3,1,2], [5,1,4,3,2], [3,1,5,4,2], [5,3,1,4,2], [4,1,5,3,2], [1,5,4,3,2], [5,4,1,3,2], [4,3,1,5,2], [5,4,2,1,3], [2,1,5,4,3], [5,2,1,4,3], [4,2,1,5,3], [3,2,1,5,4], [5,3,2,1,4], [4,3,2,1,5], [5,4,2,3,1], [5,3,4,2,1], [4,5,3,2,1], [3,2,5,4,1], [5,3,2,4,1].

Crossrefs

Column k=3 of A241719.

Sequence in context: A036797 A163079 A109845 * A276043 A041019 A041977

Adjacent sequences: A241719 A241720 A241721 * A241723 A241724 A241725

Keyword

nonn

Author

Alois P. Heinz, Apr 27 2014

Status

approved