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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.
2
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
0,10
LINKS
FORMULA
a(n) = Product_{i=0..7} A000110(floor((n+i)/8)).
EXAMPLE
a(9) = 2: 19|2|3|4|5|6|7|8, 1|2|3|4|5|6|7|8|9.
CROSSREFS
Column k=8 of A275069.
Cf. A000110.
Sequence in context: A238938 A103662 A180211 * A275063 A186026 A367653
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jul 15 2016
STATUS
approved