OFFSET
1,3
COMMENTS
Asymptotics can be found in Goh and Zhao (2020). The column k=2 corresponds to the number of 3-free permutations of 1..n, for n>=2.
LINKS
M. K. Goh and R. Y. Zhao, Arithmetic subsequences in a random ordering of an additive set, arXiv:2012.12339 [math.CO], 2020.
EXAMPLE
Triangle T(n,k) begins:
n/k 1 2 3 4 5 6 7 8 9 10 11 12
1 1
2 0 2
3 0 4 2
4 0 10 12 2
5 0 20 82 16 2
6 0 48 516 134 20 2
7 0 104 3232 1480 198 24 2
8 0 282 21984 15702 2048 274 28 2
9 0 496 168368 162368 28048 3204 362 32 2
10 0 1066 1306404 1902496 374194 39420 4720 462 36 2
11 0 2460 11064306 23226786 4929828 622140 64020 6644 574 40 2
12 0 6128 101355594 298314654 68584052 9719492 913440 98472 9024 698 44 2
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Marcel K. Goh, Dec 23 2020
STATUS
approved