A362956 a(n) is the y-coordinate of the n-th point in a square spiral mapped to a square grid rotated by Pi/4 using the distance-limited strip bijection described in A307110.

0, 0, 1, 1, 0, 0, -1, -1, 0, 1, 1, 2, 3, 2, 2, 1, 0, -1, -1, -2, -3, -2, -2, -1, 0, 1, 1, 2, 3, 3, 4, 4, 3, 2, 2, 1, 0, -1, -1, -2, -3, -3, -4, -4, -3, -2, -2, -1, 0, 1, 2, 2, 3, 4, 4, 5, 6, 5, 4, 3, 3, 2, 1, 1, 0, -1, -2, -2, -3, -4, -4, -5, -6, -5, -4, -3, -3, -2, -1, -1, 0, 0

Offset

0,12

Links

Hugo Pfoertner, Table of n, a(n) for n = 0..3000

Hugo Pfoertner, Plot of mapped spiral, using Plot 2.

Prog

(PARI) \\ for functions ax, ay, p see A362955
for (k=0, 81, print1 (p(ax(k), ay(k))[2]", "))

Crossrefs

A362955 gives the corresponding x-coordinates.

Cf. A174344, A274923, A307110, A307731.

Sequence in context: A367896 A368123 A368128 * A323326 A274884 A076224

Adjacent sequences: A362953 A362954 A362955 * A362957 A362958 A362959

Keyword

sign

Author

Hugo Pfoertner, May 10 2023

Status

approved