OFFSET
0,6
COMMENTS
S is product-free if for any i,j in S, not necessarily distinct, i*j is not in S.
For n >= 2, the alternating row sums give 0.
LINKS
Marcel K. Goh and Jonah Saks, Alternating-sum statistics for certain sets of integers, arXiv:2206.12535 [math.CO], 2022.
EXAMPLE
Triangle T(n,k) begins:
n/k 0 1 2 3 4 5 6 7 8 9
0 1
1 1
2 1 1
3 1 2 1
4 1 3 2
5 1 4 5 2
6 1 5 9 6 1
7 1 6 14 15 7 1
8 1 7 20 29 22 8 1
9 1 8 26 43 38 17 3
10 1 9 34 68 76 47 15 2
11 1 10 43 102 144 123 62 17 2
12 1 11 53 143 234 238 149 55 11 1
...
For n=5 and k=3 the T(5,3) = 2 sets are {2,3,5} and {3,4,5}.
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Marcel K. Goh, Jun 28 2022
STATUS
approved