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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 seven.
2

%I #5 May 26 2017 20:55:12

%S 1,1,2,5,15,52,203,877,4140,20269,101873,520839,2690517,13976694,

%T 72797864,379609217,1981204605,10341627330,53967714273,281504203138,

%U 1467686630577,7649011738137,39850489168540,207560600018243,1080833575339527,5627230565442222

%N 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 seven.

%H Alois P. Heinz, <a href="/A287586/b287586.txt">Table of n, a(n) for n = 0..1000</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>

%F a(n) = A000110(n) for n <= 8.

%Y Column k=7 of A287417.

%Y Cf. A000110.

%K nonn

%O 0,3

%A _Alois P. Heinz_, May 26 2017