A287588 Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks are not larger than nine.

1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 657422, 3827003, 22740552, 137213894, 837118303, 5146402217, 31802294171, 197197352995, 1225688654009, 7632924133053, 47595564684961, 297036512468620, 1854733471252332, 11584802491032094, 72372543412986244

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Wikipedia, Partition of a set

Formula

a(n) = A000110(n) for n <= 10.

Crossrefs

Column k=9 of A287417.

Cf. A000110.

Sequence in context: A229226 A343671 A276726 * A287281 A287259 A287671

Adjacent sequences: A287585 A287586 A287587 * A287589 A287590 A287591

Keyword

nonn

Author

Alois P. Heinz, May 26 2017

Status

approved