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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

%I

%S 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,

%T 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,

%U 6,5,5,6,7,7,6,5,4,3,3,4,5,6,7,7,6,5,5

%N 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.

%H Rémy Sigrist, <a href="/A334221/b334221.txt">Table of n, a(n) for n = 0..8066</a>

%H Rémy Sigrist, <a href="/A334221/a334221.gp.txt">PARI program for A334221</a>

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

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

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

%e |

%e 6| 25..

%e | |

%e 5| 24

%e | |

%e 4| 21...22...23

%e | |

%e 3| 20 15...14

%e | | | |

%e 2| 5....6 19 16 13

%e | | | | | |

%e 1| 4 7 18...17 12

%e | | | |

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

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

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

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

%o (PARI) See Links section.

%Y Cf. A334188, A334220.

%K nonn,look

%O 0,6

%A _Rémy Sigrist_, Apr 19 2020

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Last modified April 17 23:03 EDT 2021. Contains 343071 sequences. (Running on oeis4.)