A334234 a(n) is the Y-coordinate of the point at n steps forward from the origin along the H-order curve defined in A334232; sequence A334233 gives X-coordinates.

0, 0, 1, 1, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 3, 3, 2, 2, 3, 4, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 5, 4, 3, 2, 2, 3, 3, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 3, 3, 2, 2, 3, 4, 5, 5, 4, 4, 5, 6, 7, 7, 6, 6, 7, 7, 6

Offset: 0

Author

Rémy Sigrist, Apr 20 2020

Keywords

• nonn

Examples

			The "forward" branch of H-order curve starting from the origin is as follows:
    7|                                      32
     |                                       |
    6|                                      31
     |                                       |
    5|                            26...27   30
     |                             |    |    |
    4|                            25   28...29
     |                             |
    3|                   8....9   24   21...20
     |                   |    |    |    |    |
    2|                   7   10   23...22   19
     |                   |    |              |
    1|         2....3    6   11   14...15   18
     |         |    |    |    |    |    |    |
    0|    0....1    4....5   12...13   16...17
  ---+----------------------------------------
  y/x|    0    1    2    3    4    5    6    7
- hence a(25) = a(28) = a(29) = 4.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..8193
• Rémy Sigrist, PARI program for A334234
• Index entries for sequences related to coordinates of 2D curves

Crossrefs

Cf. A334232, A334233.

Programs

PARI

See Links section.

Formula

A334232(a(n), A334233(n)) = n.