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A287253 Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks are <= three. 4

%I #6 May 22 2017 11:48:16

%S 1,1,2,5,15,51,191,780,3440,16249,81736,435796,2453100,14529728,

%T 90294625,587256087,3988153356,28223370977,207745253237,1587804229045,

%U 12581186077773,103197641796678,875085283793768,7661468372063681,69173450911547978,643354845906697516

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

%H Alois P. Heinz, <a href="/A287253/b287253.txt">Table of n, a(n) for n = 0..586</a>

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

%F a(n) = A287216(n,3).

%F a(n) = A000110(n) for n <= 4.

%Y Column k=3 of A287216.

%Y Cf. A000110.

%K nonn

%O 0,3

%A _Alois P. Heinz_, May 22 2017

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Last modified June 4 14:25 EDT 2024. Contains 373099 sequences. (Running on oeis4.)