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A287255 Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks are <= five. 4

%I #6 May 22 2017 11:49:14

%S 1,1,2,5,15,52,203,876,4104,20666,111075,633704,3819875,24230302,

%T 161175189,1120918549,8129696204,61351621492,480802257296,

%U 3905922860317,32839970931663,285348575175351,2559007785431183,23657489230231038,225209876301752325

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

%H Alois P. Heinz, <a href="/A287255/b287255.txt">Table of n, a(n) for n = 0..582</a>

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

%F a(n) = A287216(n,5).

%F a(n) = A000110(n) for n <= 6.

%Y Column k=5 of A287216.

%Y Cf. A000110.

%K nonn

%O 0,3

%A _Alois P. Heinz_, May 22 2017

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)