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A334220 a(n) is the X-coordinate of the point at n steps forward from the origine along the space filling curve U defined in A334188; sequence A334221 gives Y-coordinates. 3

%I

%S 0,1,2,3,3,3,4,4,4,5,6,7,7,7,7,6,6,6,5,5,5,5,6,7,7,7,8,8,8,9,10,10,10,

%T 10,9,9,9,8,8,8,8,9,10,11,11,11,12,12,12,13,14,15,15,15,15,14,14,14,

%U 13,13,13,13,14,15,15,15,15,14,14,14,13,13,13,12,12

%N a(n) is the X-coordinate of the point at n steps forward from the origine along the space filling curve U defined in A334188; sequence A334221 gives Y-coordinates.

%H Rémy Sigrist, <a href="/A334220/b334220.txt">Table of n, a(n) for n = 0..8066</a>

%H Rémy Sigrist, <a href="/A334220/a334220.gp.txt">PARI program for A334220</a>

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

%F A334188(A334221(n), a(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(10) = a(15) = a(16) = a(17) = a(22) = 6.

%o (PARI) See Links section.

%Y Cf. A334188, A334221.

%K nonn,look

%O 0,3

%A _Rémy Sigrist_, Apr 19 2020

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Last modified February 26 16:37 EST 2021. Contains 341632 sequences. (Running on oeis4.)