A334221 - OEIS

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A334221

a(n) is the Y-coordinate of the point at n steps forward from the origine along the space filling curve U defined in A334188; sequence A334220 gives X-coordinates.

3

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,6

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..8066

Rémy Sigrist, PARI program for A334221

Index entries for sequences related to coordinates of 2D curves

FORMULA

A334188(a(n), A334220(n)) = n.

EXAMPLE

The "forward" branch of curve U starting from the origin is as follows:

|

6| 25..

| |

5| 24

| |

4| 21...22...23

| |

3| 20 15...14

| | | |

2| 5....6 19 16 13

| | | | | |

1| 4 7 18...17 12

| | | |

0| 0....1....2....3 8....9...10...11

---+----------------------------------------

y/x| 0 1 2 3 4 5 6 7

- hence a(5) = a(6) = a(13) = a(16) = a(19) = 2.

PROG

(PARI) See Links section.

CROSSREFS

Cf. A334188, A334220.

Sequence in context: A016370 A334577 A219494 * A368842 A089069 A143535

Adjacent sequences: A334218 A334219 A334220 * A334222 A334223 A334224

KEYWORD

nonn,look

AUTHOR

Rémy Sigrist, Apr 19 2020

STATUS

approved