OFFSET
1,2
COMMENTS
This triangle has been considered by Kival Ngaokrajang as a companion of A241016. See the link given there, the second triangle.
FORMULA
T(n, k) = sum(n*(j-1)+ k, j=1..n), n >= k >= 1.
T(n, k) = n*(binomial(n+1, 2) + (k-n)).
EXAMPLE
The n=4 square array is:
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
and the column sums are 28 32 36 40, which appear
in row n=4 of the triangle T.
The triangle T(n,k) begins:
n\k 1 2 3 4 5 6 7 8 9 10 ...
1: 1
2: 4 6
3: 12 15 18
4: 28 32 36 40
5: 55 60 65 70 75
6: 96 102 108 114 120 126
7: 154 161 168 175 182 189 196
8: 232 240 248 256 264 272 280 288
9: 333 342 351 360 369 378 387 396 405
10: 460 470 480 490 500 510 520 530 540 550
...
CROSSREFS
KEYWORD
AUTHOR
Wolfdieter Lang, Dec 09 2014
STATUS
approved