OFFSET
3,2
COMMENTS
For a sketch see linked illustration "Box made from nXk-paper".
The first few rows follow (n-2) * (k-2), so the initial terms are the same as in A075362. The first difference is at T(9,9) = 50 which is greater than 7 * 7.
LINKS
Felix Huber, Rows n = 3..142 of triangle, flattened
Felix Huber, Box made from nXk-paper
FORMULA
T(n,k) = (n-2*x)*(k-2*x)*x with x = round((n+k-(sqrt(n^2+k^2-n*k)))/6).
EXAMPLE
Triangle T(n,k) begins:
n\k 3 4 5 6 7 8 9 10 11 12 13 ...
3 1
4 2 4
5 3 6 9
6 4 8 12 16
7 5 10 15 20 25
8 6 12 18 24 30 36
9 7 14 21 28 35 42 50
10 8 16 24 32 40 48 60 72
11 9 18 27 36 45 56 70 84 98
12 10 20 30 40 50 64 80 96 112 128
13 11 22 33 44 55 72 90 108 126 144 162
MAPLE
CROSSREFS
KEYWORD
AUTHOR
Felix Huber, Oct 25 2024
STATUS
approved