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A287282 Number of set partitions of [n] such that for each block all absolute differences between consecutive elements are <= ten. 3

%I #10 Dec 27 2018 20:45:35

%S 1,1,2,5,15,52,203,877,4140,21147,115975,678570,4097622,25397924,

%T 160822256,1036104634,6767698121,44684050607,297472309232,

%U 1992684291665,13410441683599,90565259407669,613287083857871,4161823459675655,28288495888520998,192520455386904133

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

%H Alois P. Heinz, <a href="/A287282/b287282.txt">Table of n, a(n) for n = 0..1000</a>

%H Pierpaolo Natalini, Paolo Emilio Ricci, <a href="https://doi.org/10.3390/axioms7040071">New Bell-Sheffer Polynomial Sets</a>, Axioms 2018, 7(4), 71.

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

%F a(n) = A287214(n,10).

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

%Y Column k=10 of A287214.

%Y Cf. A000110.

%K nonn

%O 0,3

%A _Alois P. Heinz_, May 22 2017

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)