A322883 - OEIS

%I #5 Dec 29 2018 16:10:48

%S 0,1,515,22253,430909,6094476,74507486,847129333,9296465127,

%T 100540964675,1085004090887,11775039127122,129155075413877,

%U 1436488582202316,16235344928131625,186710546094489052,2186538096666720967,26085011069325363939,317049671003606985326

%N Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals ten.

%H Alois P. Heinz, <a href="/A322883/b322883.txt">Table of n, a(n) for n = 10..579</a>

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

%F a(n) = A287260(n) - A287259(n).

%p b:= proc(n, k, m, l) option remember; `if`(n<1, 1,

%p      `if`(l-n>k, 0, b(n-1, k, m+1, n))+m*b(n-1, k, m, l))

%p     end:

%p A:= (n, k)-> b(n-1, min(k, n-1), 1, n):

%p a:= n-> (k-> A(n, k)-A(n, k-1))(10):

%p seq(a(n), n=10..30);

%Y Column k=10 of A287215.

%Y Cf. A287259, A287260.

%K nonn

%O 10,3

%A _Alois P. Heinz_, Dec 29 2018