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Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks are <= nine.
4

%I #6 May 22 2017 11:55:10

%S 1,1,2,5,15,52,203,877,4140,21147,115975,678569,4213081,27621156,

%T 190402182,1375129039,10374133545,81541494757,666269176903,

%U 5648127595636,49587725282894,450158439775999,4219372853286578,40779812327165914,405907919759151220

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

%H Alois P. Heinz, <a href="/A287259/b287259.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,9).

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

%Y Column k=9 of A287216.

%Y Cf. A000110.

%K nonn

%O 0,3

%A _Alois P. Heinz_, May 22 2017