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A275074
Number of set partitions of [n] such that i-j is a multiple of seven for all i,j belonging to the same block.
2
1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 320, 800, 2000, 5000, 12500, 31250, 78125, 234375, 703125, 2109375, 6328125, 18984375, 56953125, 170859375, 592312500, 2053350000, 7118280000, 24676704000, 85545907200, 296559144960, 1028071702528
OFFSET
0,9
LINKS
FORMULA
a(n) = Product_{i=0..6} A000110(floor((n+i)/7)).
EXAMPLE
a(9) = 4: 18|29|3|4|5|6|7, 18|2|3|4|5|6|7|9, 1|29|3|4|5|6|7|8, 1|2|3|4|5|6|7|8|9.
CROSSREFS
Column k=7 of A275069.
Cf. A000110.
Sequence in context: A290239 A286834 A290625 * A290687 A290855 A264791
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jul 15 2016
STATUS
approved