A338367 Square spiral of nonnegative integers built by greedy algorithm such that for any (i, j) <> (0, 0) there is at most one position, say (n, k), such that the values at (n, k) and at (n+i, k+j) are the same.

0, 0, 0, 1, 0, 2, 1, 3, 4, 1, 3, 2, 3, 4, 5, 6, 2, 7, 4, 6, 5, 7, 8, 9, 5, 6, 7, 9, 8, 10, 7, 11, 9, 12, 8, 13, 10, 11, 14, 15, 12, 13, 10, 14, 11, 15, 16, 17, 12, 4, 13, 14, 18, 15, 6, 17, 1, 16, 19, 18, 20, 21, 22, 16, 17, 19, 20, 23, 18, 21, 24, 25, 19, 20

Offset

0,6

Comments

This sequence is a variant of A337804.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..9800

Rémy Sigrist, PARI program for A338367

Rémy Sigrist, Colored scatterplot of (x, y) such that T(n, k) = T(n+y, k+x) with -250 <= n, n+y, k, k+x <= 250 (where the hue is function of T(n, o))

Rémy Sigrist, Colored representation of the spiral for -250 <= x, y <= 250 (where the hue is function of T(y, x))

Rémy Sigrist, Scatterplot of the points (x, y) introducing a new value for -250 <= x, y <= 250

Example

The spiral begins:
      10--13---8--12---9--11---7
       |                       |
      11   2---6---5---4---3  10
       |   |               |   |
      14   7   0---1---0   2   8
       |   |   |       |   |   |
      15   4   2   0---0   3   9
       |   |   |           |   |
      12   6   1---3---4---1   7
       |   |                   |
      13   5---7---8---9---5---6
       |
      10--14--11--15--16--17--12

Prog

(PARI) See Links section.

Crossrefs

Cf. A337226, A337804.

Sequence in context: A084579 A276237 A059663 * A186975 A027422 A135086

Adjacent sequences: A338364 A338365 A338366 * A338368 A338369 A338370

Keyword

nonn

Author

Rémy Sigrist, Oct 23 2020

Status

approved