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A333825 Lexicographically earliest sequence of distinct positive integers, which when mapped onto a square spiral, gives a set without three distinct aligned points. 3

%I #15 Apr 12 2020 13:57:57

%S 1,2,3,4,17,20,22,27,45,48,67,79,80,131,135,174,180,194,201,209,236,

%T 254,312,319,394,523,644,656,706,711,733,765,766,845,848,921,922,935,

%U 1034,1051,1219,1292,1310,1330,1399,1410,1546,1589,1674,1792,1816,1863

%N Lexicographically earliest sequence of distinct positive integers, which when mapped onto a square spiral, gives a set without three distinct aligned points.

%C This sequence has similarities with A236266.

%H Rémy Sigrist, <a href="/A333825/b333825.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A333825/a333825.png">Scatterplot of (A174344(a(n)), A274923(a(n))) in the region -20000 <= x, y <= 20000</a>

%H Rémy Sigrist, <a href="/A333825/a333825.txt">C# program for A333825</a>

%e The first terms, mapped onto a square spiral, are:

%e *---*---*---*---*---*---*---*---*

%e | |

%e * *---*---*---*---*---*---* *

%e | | | |

%e 67 * 17---*---*---*---* * *

%e | | | | | |

%e * * * *---4---3 * * *

%e | | | | | | | |

%e * * * * 1---2 * * *

%e | | | | | | |

%e * * 20 *---*---*---* 27 *

%e | | | | |

%e * * *--22---*---*---*---* *

%e | | |

%e * *---*--45---*---*--48---*---*

%e |

%e *---*---*---*---*---*--79--80---*

%o (C#) See Links section.

%Y See A333835 and A333866 for a similar sequences.

%Y Cf. A174344, A236266, A274923.

%K nonn

%O 1,2

%A _Rémy Sigrist_, Apr 07 2020

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Last modified August 15 07:05 EDT 2024. Contains 375172 sequences. (Running on oeis4.)