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Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks are <= ten.
3

%I #6 May 22 2017 11:55:36

%S 1,1,2,5,15,52,203,877,4140,21147,115975,678570,4213596,27643409,

%T 190833091,1381223515,10448641031,82388624090,675565642030,

%U 5748668560311,50672729373781,461933478903121,4348527928700455,42216300909368230,422143264687282845

%N Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks are <= ten.

%H Alois P. Heinz, <a href="/A287260/b287260.txt">Table of n, a(n) for n = 0..579</a>

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

%F a(n) = A287216(n,10).

%F a(n) = A000110(n) for n <= 11.

%Y Column k=10 of A287216.

%Y Cf. A000110.

%K nonn

%O 0,3

%A _Alois P. Heinz_, May 22 2017