A337838 Permutation of the natural numbers formed by numbering an infinite square grid by a counterclockwise triangular spiral and visiting them by a counterclockwise stair step spiral.

1, 2, 13, 3, 14, 4, 5, 19, 20, 6, 7, 8, 24, 25, 9, 10, 12, 31, 60, 32, 61, 33, 62, 34, 63, 35, 15, 17, 18, 41, 42, 74, 75, 43, 44, 21, 22, 23, 48, 49, 83, 84, 50, 51, 26, 27, 11, 30, 59, 96, 143, 97, 144, 98, 145, 99, 146, 100, 147, 101, 148, 102, 64, 36, 16

Offset

1,2

Links

Kevin Ryde, Table of n, a(n) for n = 1..10000

Index entries for sequences that are permutations of the natural numbers

Example

The path begins:
.
  16
.
  17  15  34
.
  18   4--14  33
       |   |
  19---5   3--13  32
   |           |       |
  20---6   1---2  12--31
       |           |
  21   7---8   9--10  11  30
           |   |
  22  23  24--25  26  27  28  29
.

Crossrefs

Same type of visit on other types of spirals: A334619, A337822.

Square spiral visit on the same spiral board: A217010.

Sequence in context: A249224 A217010 A091023 * A120863 A286459 A358433

Adjacent sequences: A337835 A337836 A337837 * A337839 A337840 A337841

Keyword

nonn

Author

Mohammed Yaseen, Sep 25 2020

Status

approved