OFFSET
0,5
COMMENTS
A hexagon arithmetic of E. Lucas.
FORMULA
EXAMPLE
Square array begins:
n=0: 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, ...
n=1: 1, 2, 3, 4, 5, 6, 6, 0, 0, 0, 0, 0, ...
n=2: 1, 3, 6, 10, 15, 21, 27, 27, 0, 0, 0, 0, ...
n=3: 1, 4, 10, 20, 35, 56, 83, 110, 110, 0, 0, 0, ...
n=4: 0, 4, 14, 34, 69, 125, 208, 318, 428, 428, 0, 0, ...
n=5: 0, 0, 14, 48, 117, 242, 450, 768, 1196, 1624, 1624, 0, ...
...
Square array, read by rows, with 0 omitted:
...1, 1, 1, 1, 1, 1
...1, 2, 3, 4, 5, 6, 6
...1, 3, 6, 10, 15, 21, 27, 27
...1, 4, 10, 20, 35, 56, 83, 110, 110
...4, 14, 34, 69, 125, 208, 318, 428, 428
..14, 48, 117, 242, 450, 768, 1196, 1624, 1624
..48, 165, 407, 857, 1625, 2821, 4445, 6069, 6069
.165, 572, 1429, 3054, 5875, 10320, 16389, 22458, 22458
.572, 2001, 5055, 10930, 21250, 37639, 60097, 82555, 82555
2001, 7056, 17986, 39236, 76875, 136972, 219527, 302082, 302082
...
Triangle begins:
1
1, 1
1, 2, 1
1, 3, 3, 1
1, 4, 6, 4, 0
1, 5, 10, 10, 4, 0
0, 6, 15, 20, 14, 0, 0
0, 6, 21, 35, 34, 14, 0, 0
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Philippe Deléham, Mar 24 2013
STATUS
approved