A334475 a(n) is the X-coordinate of the n-th point of the space filling curve T defined in A334474; sequence A334476 gives Y-coordinates.

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

Offset: 0

Author

Rémy Sigrist, May 02 2020

Keywords

• nonn

Examples

			The space filling curve T starts as follows:
    5|  ...
     |   |
     |   |
    4|  16
     |   \
     |    \
    3|   5 15-14-13
     |   |\       |
     |   | \      |
    2|   4  6 11-12
     |    \  \  \
     |     \  \  \
    1|   1  3  7 10
     |   |\ |  |  |
     |   | \|  |  |
    0|   0  2  8--9
  ---+-------------
  y/x|   0  1  2  3
- hence a(2) = a(3) = a(6) = a(15) = 1.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..8255
• Hugo Pfoertner, Illustration of curve T, using Plot 2.
• Rémy Sigrist, PARI program for A334475
• Index entries for sequences related to coordinates of 2D curves

Crossrefs

Cf. A334474, A334476.

Programs

PARI

See Links section.

Formula

A334474(A334476(n), a(n)) = n.