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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

%I #9 Apr 27 2020 23:58:31

%S 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,

%T 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,

%U 13,13,14,14,15,15,15,15,14,14,13,13,13,13,14,14

%N 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.

%H Rémy Sigrist, <a href="/A334233/b334233.txt">Table of n, a(n) for n = 0..8193</a>

%H Rémy Sigrist, <a href="/A334233/a334233.gp.txt">PARI program for A334233</a>

%H <a href="/index/Con#coordinates_2D_curves">Index entries for sequences related to coordinates of 2D curves</a>

%F A334232(A334234(n), a(n)) = n.

%e The "forward" branch of H-order curve starting from the origin is as follows:

%e 7| 32

%e | |

%e 6| 31

%e | |

%e 5| 26...27 30

%e | | | |

%e 4| 25 28...29

%e | |

%e 3| 8....9 24 21...20

%e | | | | | |

%e 2| 7 10 23...22 19

%e | | | |

%e 1| 2....3 6 11 14...15 18

%e | | | | | | | |

%e 0| 0....1 4....5 12...13 16...17

%e ---+----------------------------------------

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

%e - hence a(9) = a(10) = a(11) = a(12) = 4.

%o (PARI) See Links section.

%Y Cf. A334232, A334234.

%K nonn

%O 0,4

%A _Rémy Sigrist_, Apr 20 2020

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Last modified May 15 05:14 EDT 2024. Contains 372536 sequences. (Running on oeis4.)