A275075 Number of set partitions of [n] such that i-j is a multiple of eight for all i,j belonging to the same block.

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 640, 1600, 4000, 10000, 25000, 62500, 156250, 390625, 1171875, 3515625, 10546875, 31640625, 94921875, 284765625, 854296875, 2562890625, 8884687500, 30800250000, 106774200000, 370150560000, 1283188608000

Offset: 0

Author

Alois P. Heinz, Jul 15 2016

Keywords

• nonn

Examples

			a(9) = 2: 19|2|3|4|5|6|7|8, 1|2|3|4|5|6|7|8|9.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..850
• Wikipedia, Partition of a set

Crossrefs

Column k=8 of A275069.

Cf. A000110.

Formula

a(n) = Product_{i=0..7} A000110(floor((n+i)/8)).