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A236301 Al-Antaakii's 15 X 15 magic square read by rows. 1

%I #23 Mar 11 2020 06:07:50

%S 62,2,222,220,8,10,214,213,212,16,18,206,204,24,64,126,78,26,198,196,

%T 32,11,189,207,34,190,188,40,80,100,128,122,94,42,182,7,35,173,183,

%U 203,180,48,96,104,98,50,124,118,110,3,31,51,165,167,179,199,112,108

%N Al-Antaakii's 15 X 15 magic square read by rows.

%C It's a magic square, containing central smaller magic squares of side length 13, 11, 9, 7, 5 and 3 - and moreover, the numbers are arranged so that all the odd numbers appear inside a central diamond and all the even ones appear outside.

%C The magic constant is 15*(15^2+1)/2 = 1695. - _Wolfdieter Lang_, May 05 2014

%H Arkadiusz Wesolowski, <a href="/A236301/b236301.txt">Table of n, a(n) for n = 1..225</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Diamond.html">Diamond</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MagicSquare.html">Magic Square</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Centered_square_number">Centered square number</a>

%H Robin Wilson, <a href="http://www.youtube.com/watch?v=YUsSaGnbcCw">Magic Squares</a> (2008)

%H <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>

%e The magic square is

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

%e | 62| 2 |222|220| 8 | 10|214|213|212| 16| 18|206|204| 24| 64|

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

%e |126| 78| 26|198|196| 32| 11|189|207| 34|190|188| 40| 80|100|

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

%e |128|122| 94| 42|182| 7 | 35|173|183|203|180| 48| 96|104| 98|

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

%e | 50|124|118|110| 3 | 31| 51|165|167|179|199|112|108|102|176|

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

%e | 52| 70|120|201| 75|159|155|153| 83| 87| 79| 25|106|156|174|

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

%e | 54| 72|205|181|141| 95|135|133|103| 99| 85| 45| 21|154|172|

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

%e |170|209|185|169|145|125|111|121|107|101| 81| 57| 41| 17| 56|

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

%e |211|187|171|163|149|129|109|113|117| 97| 77| 63| 55| 39| 15|

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

%e |168| 9 | 33| 49| 69| 89|119|105|115|137|157|177|193|217| 58|

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

%e | 60| 82| 5 | 29| 65|127| 91| 93|123|131|161|197|221|144|166|

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

%e | 66|142| 90| 1 |147| 67| 71| 73|143|139|151|225|136| 84|160|

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

%e |158|140| 92|114|223|195|175| 61| 59| 47| 27|116|134| 86| 68|

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

%e |152| 88|130|184| 44|219|191| 53| 43| 23| 46|178|132|138| 74|

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

%e | 76|146|200| 28| 30|194|215| 37| 19|192| 36| 38|186|148|150|

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

%e |162|224| 4 | 6 |218|216| 12| 13| 14|210|208| 20| 22|202|164|

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

%Y Cf. A124472.

%K nonn,fini,full,tabf

%O 1,1

%A _Arkadiusz Wesolowski_, Apr 21 2014

%E Edited by _Wolfdieter Lang_, May 05 2014

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)