A334233 - OEIS

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A334233

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

3

0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 9, 9, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 14, 14, 13, 13, 13, 13, 14, 14

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

OFFSET

0,4

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..8193

Rémy Sigrist, PARI program for A334233

Index entries for sequences related to coordinates of 2D curves

FORMULA

A334232(A334234(n), a(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(9) = a(10) = a(11) = a(12) = 4.

PROG

(PARI) See Links section.

CROSSREFS

Cf. A334232, A334234.

Sequence in context: A331852 A103128 A156080 * A271058 A107320 A095186

Adjacent sequences: A334230 A334231 A334232 * A334234 A334235 A334236

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Apr 20 2020

STATUS

approved