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

0,8

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

Formula

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

Example

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.

Prog

(PARI) See Links section.

Crossrefs

Cf. A334232, A334233.

Sequence in context: A099530 A167544 A334484 * A291196 A279316 A074989

Adjacent sequences: A334231 A334232 A334233 * A334235 A334236 A334237

Keyword

nonn

Author

Rémy Sigrist, Apr 20 2020

Status

approved