OFFSET
1,8
COMMENTS
FORMULA
It follows from the definitions that T(m,n] = A335680[m,n] - m - n. Note that there is an explicit formula for the latter sequence.
EXAMPLE
The initial rows of the array are:
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...
0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, ...
0, 3, 7, 14, 22, 33, 45, 60, 76, 95, 115, 138, ...
0, 6, 14, 27, 42, 63, 85, 113, 143, 178, 215, 258, ...
0, 10, 22, 42, 65, 98, 131, 174, 220, 274, 330, 396, ...
0, 15, 33, 63, 98, 147, 196, 260, 329, 410, 493, 591, ...
0, 21, 45, 85, 131, 196, 261, 347, 439, 547, 656, 786, ...
0, 28, 60, 113, 174, 260, 347, 461, 583, 726, 870, 1042, ...
0, 36, 76, 143, 220, 329, 439, 583, 737, 918, 1099, 1316, ...
0, 45, 95, 178, 274, 410, 547, 726, 918, 1143, 1368, 1638, ...
0, 55, 115, 215, 330, 493, 656, 870, 1099, 1368, 1637, 1961, ...
...
The initial antidiagonals are:
0
0, 0
0, 1, 0
0, 3, 3, 0
0, 6, 7, 6, 0
0, 10, 14, 14, 10, 0
0, 15, 22, 27, 22, 15, 0
0, 21, 33, 42, 42, 33, 21, 0
0, 28, 45, 63, 65, 63, 45, 28, 0
0, 36, 60, 85, 98, 98, 85, 60, 36, 0
0, 45, 76, 113, 131, 147, 131, 113, 76, 45, 0
0, 55, 95, 143, 174, 196, 196, 174, 143, 95, 55, 0
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved