A275077 - OEIS

%I #6 Jul 15 2016 17:00:41

%S 1,1,1,1,1,1,1,1,1,1,1,2,4,8,16,32,64,128,256,512,1024,2560,6400,

%T 16000,40000,100000,250000,625000,1562500,3906250,9765625,29296875,

%U 87890625,263671875,791015625,2373046875,7119140625,21357421875,64072265625,192216796875

%N Number of set partitions of [n] such that i-j is a multiple of ten for all i,j belonging to the same block.

%H Alois P. Heinz, <a href="/A275077/b275077.txt">Table of n, a(n) for n = 0..891</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..9} A000110(floor((n+i)/10)).

%Y Column k=10 of A275069.

%Y Cf. A000110.

%K nonn

%O 0,12

%A _Alois P. Heinz_, Jul 15 2016