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

62, 2, 222, 220, 8, 10, 214, 213, 212, 16, 18, 206, 204, 24, 64, 126, 78, 26, 198, 196, 32, 11, 189, 207, 34, 190, 188, 40, 80, 100, 128, 122, 94, 42, 182, 7, 35, 173, 183, 203, 180, 48, 96, 104, 98, 50, 124, 118, 110, 3, 31, 51, 165, 167, 179, 199, 112, 108

Offset

1,1

Comments

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.

The magic constant is 15*(15^2+1)/2 = 1695. - Wolfdieter Lang, May 05 2014

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..225

Eric Weisstein's World of Mathematics, Diamond

Eric Weisstein's World of Mathematics, Magic Square

Wikipedia, Centered square number

Robin Wilson, Magic Squares (2008)

Index entries for sequences related to magic squares

Example

The magic square is
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
| 62| 2 |222|220| 8 | 10|214|213|212| 16| 18|206|204| 24| 64|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
|126| 78| 26|198|196| 32| 11|189|207| 34|190|188| 40| 80|100|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
|128|122| 94| 42|182| 7 | 35|173|183|203|180| 48| 96|104| 98|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
| 50|124|118|110| 3 | 31| 51|165|167|179|199|112|108|102|176|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
| 52| 70|120|201| 75|159|155|153| 83| 87| 79| 25|106|156|174|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
| 54| 72|205|181|141| 95|135|133|103| 99| 85| 45| 21|154|172|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
|170|209|185|169|145|125|111|121|107|101| 81| 57| 41| 17| 56|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
|211|187|171|163|149|129|109|113|117| 97| 77| 63| 55| 39| 15|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
|168| 9 | 33| 49| 69| 89|119|105|115|137|157|177|193|217| 58|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
| 60| 82| 5 | 29| 65|127| 91| 93|123|131|161|197|221|144|166|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
| 66|142| 90| 1 |147| 67| 71| 73|143|139|151|225|136| 84|160|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
|158|140| 92|114|223|195|175| 61| 59| 47| 27|116|134| 86| 68|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
|152| 88|130|184| 44|219|191| 53| 43| 23| 46|178|132|138| 74|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
| 76|146|200| 28| 30|194|215| 37| 19|192| 36| 38|186|148|150|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|
|162|224| 4 | 6 |218|216| 12| 13| 14|210|208| 20| 22|202|164|
|---+---+---+---+---+---+---+---+---+---+---+---+---+---+---|

Crossrefs

Cf. A124472.

Sequence in context: A362452 A110823 A058913 * A218166 A106657 A033382

Adjacent sequences: A236298 A236299 A236300 * A236302 A236303 A236304

Keyword

nonn,fini,full,tabf

Author

Arkadiusz Wesolowski, Apr 21 2014

Extensions

Edited by Wolfdieter Lang, May 05 2014

Status

approved