A368053 Array read by descending antidiagonals, where row n=0 lists the natural numbers. 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, while reversing the order of the skipped terms. (see example).

1, 2, 2, 3, 1, 3, 4, 3, 1, 4, 5, 4, 2, 2, 5, 6, 5, 4, 1, 3, 6, 7, 6, 5, 3, 1, 4, 7, 8, 7, 6, 5, 2, 2, 5, 8, 9, 8, 7, 6, 4, 1, 3, 6, 9, 10, 9, 8, 7, 6, 3, 1, 4, 7, 10, 11, 10, 9, 8, 7, 5, 2, 2, 5, 8, 11, 12, 11, 10, 9, 8, 7, 4, 1, 3, 6, 9, 12, 13, 12, 11, 10, 9, 8, 6, 3, 1, 4, 7, 10, 13

Offset

1,2

Links

Table of n, a(n) for n=1..91.

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,  ...
   3,  1,  2,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  ...
   4,  2,  1,  3,  5,  6,  7,  8,  9,  10,  11,  12,  13,  ...
   5,  3,  1,  2,  4,  6,  7,  8,  9,  10,  11,  12,  13,  ...
   6,  4,  2,  1,  3,  5,  7,  8,  9,  10,  11,  12,  13,  ...
   7,  5,  3,  1,  2,  4,  6,  8,  9,  10,  11,  12,  13,  ...
   8,  6,  4,  2,  1,  3,  5,  7,  9,  10,  11,  12,  13,  ...
   9,  7,  5,  3,  1,  2,  4,  6,  8,  10,  11,  12,  13,  ...
  10,  8,  6,  4,  2,  1,  3,  5,  7,   9,  11,  12,  13,  ...
  11,  9,  7,  5,  3,  1,  2,  4,  6,   8,  10,  12,  13,  ...
  12, 10,  8,  6,  4,  2,  1,  3,  5,   7,   9,  11,  13,  ...
  13, 11,  9,  7,  5,  3,  1,  2,  4,   6,   8,  10,  12,  ...
  ...

Crossrefs

Cf. A000027 (1st row and column), A028310 (main diagonal), A367634 (similar with no reversal).

Sequence in context: A143182 A128715 A237447 * A338573 A113881 A072030

Adjacent sequences: A368050 A368051 A368052 * A368054 A368055 A368056

Keyword

nonn,tabl

Author

Wesley Ivan Hurt, Dec 09 2023

Status

approved