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A368050
Main diagonal of the array where row n=0 lists the natural numbers and each new row n=1,2,... is found by taking the number n in the previous row, and "leaping" it over the next n terms to its right, keeping the other numbers fixed (see example).
0
1, 1, 2, 5, 6, 4, 5, 10, 11, 12, 8, 15, 16, 17, 11, 20, 21, 22, 14, 15, 26, 27, 17, 18, 31, 32, 33, 21, 36, 37, 38, 24, 41, 42, 43, 27, 28, 47, 48, 30, 31
OFFSET
1,3
EXAMPLE
The array begins:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...
2, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...
1, 3, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...
1, 2, 4, 5, 3, 6, 7, 8, 9, 10, 11, 12, 13, ...
1, 2, 5, 3, 6, 7, 4, 8, 9, 10, 11, 12, 13, ...
1, 2, 3, 6, 7, 4, 8, 5, 9, 10, 11, 12, 13, ...
1, 2, 3, 7, 4, 8, 5, 9, 10, 6, 11, 12, 13, ...
1, 2, 3, 4, 8, 5, 9, 10, 6, 11, 7, 12, 13, ...
1, 2, 3, 4, 5, 9, 10, 6, 11, 7, 12, 13, 8, ...
1, 2, 3, 4, 5, 10, 6, 11, 7, 12, 13, 8, 14, ...
1, 2, 3, 4, 5, 6, 11, 7, 12, 13, 8, 14, 15, ...
1, 2, 3, 4, 5, 6, 7, 12, 13, 8, 14, 15, 9, ...
1, 2, 3, 4, 5, 6, 7, 13, 8, 14, 15, 9, 16, ...
...
CROSSREFS
Cf. A000027, A026272, A367634 (descending antidiagonals).
Sequence in context: A213736 A202343 A154946 * A343933 A262152 A016636
KEYWORD
nonn,more
AUTHOR
Wesley Ivan Hurt, Dec 09 2023
STATUS
approved