A093650 Natural numbers arranged in a square maze beginning 1, 2, 3, then moving right, then up, right, down, left, down, right, etc., and read by antidiagonals upwards.

1, 2, 6, 3, 5, 7, 12, 4, 8, 20, 13, 11, 9, 19, 21, 30, 14, 10, 18, 22, 42, 31, 29, 15, 17, 23, 41, 43, 56, 32, 28, 16, 24, 40, 44, 72, 57, 55, 33, 27, 25, 39, 45, 71, 73, 90, 58, 54, 34, 26, 38, 46, 70, 74, 110, 91, 89, 59, 53, 35, 37, 47, 69, 75, 109, 111

Offset

1,2

Links

Jinyuan Wang, Rows n = 1..100 of triangle, flattened

Index entries for sequences that are permutations of the natural numbers

Example

a(3) = 6 because the maze begins 2 under 1, 3 under 2, 4 right of 3, 5 right of 2 and 6 right of 1.
Array begins:
   1   6---7  20 ...
   |   |   |   |
   2   5   8  19 ...
   |   |   |   |
   3---4   9  18 ...
           |   |
  12--11--10  17 ...
   |           |
  13--14--15--16 ...
  ...

Crossrefs

Cf. A080335, A081347, A081348.

Other square mazes: A081344, A081349.

Sequence in context: A259018 A353649 A084355 * A064433 A163338 A323335

Adjacent sequences: A093647 A093648 A093649 * A093651 A093652 A093653

Keyword

nonn,tabl

Author

Michael Joseph Halm, May 15 2004

Extensions

More terms from Jinyuan Wang, Jun 15 2022

Status

approved