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Magic sums of 4 X 4 magic squares composed of odd squares.
2

%I #11 Apr 14 2016 10:05:41

%S 11220,15300,17300,17316,19380,20900,26900,27300,28100,29900,31620,

%T 33660,34060,34580,35700,39100,39780,42500,42900,43540,43732,43860,

%U 44748,45900,46900,47580,47892,47940,49300,50700,51508,52260,53300,53980,54340,55100,55796

%N Magic sums of 4 X 4 magic squares composed of odd squares.

%C Every number of the form 8*x + 4, where x is a term of A271579, is in the sequence.

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

%e Examples of 4 X 4 magic squares composed of odd squares.

%e .

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

%e | 23^2| 3^2 | 49^2| 91^2|

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

%e | 61^2| 71^2| 37^2| 33^2|

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

%e | 79^2| 29^2| 63^2| 13^2|

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

%e | 27^2| 73^2| 59^2| 41^2|

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

%e The magic constant is 11220 = a(1).

%e .

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

%e | 3^2 | 19^2| 59^2|107^2|

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

%e | 49^2|103^2| 47^2| 9^2 |

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

%e |113^2| 39^2| 31^2| 7^2 |

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

%e | 11^2| 53^2| 93^2| 61^2|

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

%e The magic constant is 15300 = a(2).

%Y Cf. A016754, A271579. Subsequence of A271580. Supersequence of A271583.

%K nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Apr 10 2016