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A256627 Alfred Moessner's 8 X 8 magic square made from the first 64 triangular numbers, read by rows. 2

%I #12 Apr 14 2015 11:10:56

%S 1378,171,496,1653,630,15,36,1081,105,820,703,6,325,2016,1275,210,861,

%T 120,3,666,1953,300,231,1326,190,1431,1596,465,10,595,1128,45,0,741,

%U 946,91,276,1225,1830,351,1711,406,153,1540,1035,66,21,528,435,1770,1485,136,55,990,561,28,780,1,78,903,1176,253,378,1891

%N Alfred Moessner's 8 X 8 magic square made from the first 64 triangular numbers, read by rows.

%C The magic sum = 5460 is also a triangular number.

%D Alfred Moessner, A magic square of triangle numbers, The Mathem. Student 10 (1942), p. 95.

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

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

%e Let a(n) = A000217(k). Then the k's are:

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

%e | 52| 18| 31| 57| 35| 5 | 8 | 46|

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

%e | 14| 40| 37| 3 | 25| 63| 50| 20|

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

%e | 41| 15| 2 | 36| 62| 24| 21| 51|

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

%e | 19| 53| 56| 30| 4 | 34| 47| 9 |

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

%e | 0 | 38| 43| 13| 23| 49| 60| 26|

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

%e | 58| 28| 17| 55| 45| 11| 6 | 32|

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

%e | 29| 59| 54| 16| 10| 44| 33| 7 |

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

%e | 39| 1 | 12| 42| 48| 22| 27| 61|

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

%Y Cf. A000217, A132362, A132648.

%K nonn,fini,full,tabf

%O 1,1

%A _Arkadiusz Wesolowski_, Apr 05 2015

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)