A275076 Number of set partitions of [n] such that i-j is a multiple of nine for all i,j belonging to the same block.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1280, 3200, 8000, 20000, 50000, 125000, 312500, 781250, 1953125, 5859375, 17578125, 52734375, 158203125, 474609375, 1423828125, 4271484375, 12814453125, 38443359375, 133270312500, 462003750000

Offset: 0

Author

Alois P. Heinz, Jul 15 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..871
• Wikipedia, Partition of a set

Crossrefs

Column k=9 of A275069.

Cf. A000110.

Formula

a(n) = Product_{i=0..8} A000110(floor((n+i)/9)).