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%I #6 Jul 15 2016 16:54:31
%S 1,1,1,1,1,1,1,2,4,8,16,32,64,160,400,1000,2500,6250,15625,46875,
%T 140625,421875,1265625,3796875,11390625,39487500,136890000,474552000,
%U 1645113600,5703060480,19770609664,77181418496,301304383744,1176245959616,4591883265424
%N Number of set partitions of [n] such that i-j is a multiple of six for all i,j belonging to the same block.
%H Alois P. Heinz, <a href="/A275073/b275073.txt">Table of n, a(n) for n = 0..801</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
%F a(n) = Product_{i=0..5} A000110(floor((n+i)/6)).
%e a(9) = 8: 17|28|39|4|5|6, 17|28|3|4|5|6|9, 17|2|39|4|5|6|8, 17|2|3|4|5|6|8|9, 1|28|39|4|5|6|7, 1|28|3|4|5|6|7|9, 1|2|39|4|5|6|7|8, 1|2|3|4|5|6|7|8|9.
%Y Column k=6 of A275069.
%Y Cf. A000110.
%K nonn
%O 0,8
%A _Alois P. Heinz_, Jul 15 2016
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