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A334235 a(n) is the X-coordinate of the point at n steps backward from the origine along the H-order curve defined in A334232; sequence A334236 gives Y-coordinates. 3

%I #9 Apr 27 2020 23:58:46

%S 0,0,0,0,1,1,2,2,2,2,1,1,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,5,5,6,6,6,6,

%T 5,5,4,4,4,4,3,3,3,3,2,2,1,1,0,0,0,0,1,1,2,2,2,2,1,1,0,0,0,0,1,1,2,2,

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

%N a(n) is the X-coordinate of the point at n steps backward from the origine along the H-order curve defined in A334232; sequence A334236 gives Y-coordinates.

%H Rémy Sigrist, <a href="/A334235/b334235.txt">Table of n, a(n) for n = 0..8192</a>

%H Rémy Sigrist, <a href="/A334235/a334235.gp.txt">PARI program for A334235</a>

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

%F A334232(A334236(n), a(n)) = -n.

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

%e 7| -15..-16 -19..-20 -27..-28 -31

%e | | | | | | | |

%e 6| -14 -17..-18 -21 -26 -29..-30

%e | | | |

%e 5| -13 -10...-9 -22 -25

%e | | | | | |

%e 4| -12..-11 -8 -23..-24

%e | |

%e 3| -3...-4 -7

%e | | | |

%e 2| -2 -5...-6

%e | |

%e 1| -1

%e | |

%e 0| 0

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

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

%e - hence a(24) = a(25) = a(26) = a(27) = 4.

%o (PARI) See Links section.

%Y Cf. A334232, A334236.

%K nonn

%O 0,7

%A _Rémy Sigrist_, Apr 20 2020

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)