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A308094 Arrange distinct numbers in a single square spiral so that the absolute difference between each number and its eight neighbors is unique. 0

%I #15 May 23 2019 01:13:14

%S 1,2,4,8,13,21,10,31,17,34,52,26,45,68,41,66,97,131,57,96,50,139,69,

%T 114,165,83,219,107,168,102,158,221,136,198,265,166,3,237,309,386,183,

%U 261,140,349,240,319,411,270,363,179,461,322,426,279,381,488,6,364

%N Arrange distinct numbers in a single square spiral so that the absolute difference between each number and its eight neighbors is unique.

%C Start with 1; always choose smallest number which has not yet appeared.

%e The spiral begins:

%e .

%e 673--476--896--714--200--610--848--660--181--831--180

%e | |

%e 877 125--280--513--393----9--336--481--364----6 658

%e | | | |

%e 1085 429 3--166--265--198--136--221--158 488 187

%e | | | | | |

%e 770 554 237 97---66---41---68---45 102 381 647

%e | | | | | | | |

%e 232 7 309 131 13----8----4 26 168 279 18

%e | | | | | | | | | |

%e 743 523 386 57 21 1----2 52 107 426 584

%e | | | | | | | | |

%e 964 14 183 96 10---31---17---34 219 322 12

%e | | | | | | |

%e 1182 405 261 50--139---69--114--165---83 461 842

%e | | | | |

%e 765 539 140--349--240--319--411--270--363--179 680

%e | | |

%e 233 5--685--499---11--572---16--565---19--514---15

%Y Cf. A175498, A257339.

%K nonn

%O 1,2

%A _Luca Petrone_, May 12 2019

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Last modified August 18 02:01 EDT 2024. Contains 375255 sequences. (Running on oeis4.)