OFFSET
0,17
COMMENTS
Square array A(row,col) is read by ascending antidiagonals as: A(0,0), A(1,0), A(0,1), A(2,0), A(1,1), A(0,2), A(3,0), A(2,1), A(1,2), A(0,3), ...
LINKS
EXAMPLE
The top left corner of the array A265609 with its terms shown in factorial base (A007623) looks like this:
1, 0, 0, 0, 0, 0, 0, 0, 0
1, 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000
1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000
1, 11, 200, 2200, 30000, 330000, 4000000, 44000000, 500000000
1, 20, 310, 10000, 110000, 1220000, 14000000, 160000000, 1830000000
1, 21, 1100, 13300, 220000, 3000000, 36000000, 452000000, 5500000000
1, 100, 1300, 24000, 411000, 6000000, 82000000, 1100000000, 13300000000
1, 101, 2110, 41000, 1000000, 13000000, 174000000, 2374000000, 30360000000
-
Taking the most significant "digit" (placeholder that may get arbitrarily large values) gives us the top left corner of this array:
-
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11
1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3
1, 2, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 17, 19, 21, 1
1, 1, 1, 2, 4, 6, 8, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5
1, 1, 2, 4, 1, 1, 1, 2, 3, 3, 4, 5, 6, 8, 9, 11, 12, 14, 16, 19, 21
1, 1, 3, 1, 1, 2, 3, 4, 6, 8, 11, 14, 1, 1, 1, 1, 2, 2, 2, 3, 3
1, 1, 3, 1, 2, 3, 5, 8, 1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 10, 12
1, 1, 4, 1, 3, 5, 9, 1, 2, 2, 3, 5, 6, 8, 11, 14, 17, 21, 1, 1, 1
1, 1, 1, 2, 4, 8, 1, 2, 3, 5, 7, 10, 14, 1, 1, 1, 2, 2, 3, 3, 4
1, 2, 1, 3, 6, 1, 2, 4, 6, 9, 14, 1, 1, 2, 3, 4, 5, 6, 8, 10, 13
1, 2, 1, 3, 1, 2, 3, 6, 10, 1, 1, 2, 3, 5, 6, 9, 12, 16, 21, 1, 1
1, 2, 1, 4, 1, 2, 5, 9, 1, 2, 3, 4, 7, 10, 14, 20, 1, 1, 2, 2, 3
1, 2, 2, 5, 1, 3, 7, 1, 2, 3, 5, 8, 13, 1, 1, 1, 2, 3, 4, 6, 8
...
PROG
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Dec 19 2015
STATUS
approved