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A276926 Number of ordered set partitions of [n] with at most six elements per block.

%I A276926 #11 May 24 2018 12:13:11
%S A276926 1,1,3,13,75,541,4683,47292,545818,7086954,102241902,1622523210,
%T A276926 28089336198,526810157874,10640241569958,230256584914356,
%U A276926 5314976561846952,130352566702702344,3385021286975255928,92786398312428612792,2677217312112863784264
%N A276926 Number of ordered set partitions of [n] with at most six elements per block.
%H A276926 Alois P. Heinz, <a href="/A276926/b276926.txt">Table of n, a(n) for n = 0..424</a>
%F A276926 E.g.f.: 1/(1-Sum_{i=1..6} x^i/i!).
%p A276926 a:= proc(n) option remember; `if`(n=0, 1, add(
%p A276926        a(n-i)*binomial(n, i), i=1..min(n, 6)))
%p A276926     end:
%p A276926 seq(a(n), n=0..25);
%t A276926 max = 25; CoefficientList[1/(1-Sum[x^i/i!, {i, 1, 6}]) + O[x]^(max+1), x]* Range[0, max]! (* _Jean-François Alcover_, May 24 2018 *)
%Y A276926 Column k=6 of A276921.
%Y A276926 Cf. A148092.
%K A276926 nonn
%O A276926 0,3
%A A276926 _Alois P. Heinz_, Sep 22 2016