A132654 An 8 X 8 magic square with consecutive triangular numbers, read by rows.

1596, 595, 36, 1653, 171, 1128, 45, 496, 561, 210, 1485, 1176, 28, 435, 1770, 55, 351, 946, 91, 276, 2080, 741, 10, 1225, 190, 15, 630, 465, 1431, 78, 1081, 1830, 120, 325, 2016, 3, 861, 300, 1275, 820, 21, 1540, 153, 66, 666, 1711, 528, 1035, 1891, 136, 903, 1378, 378, 1, 780, 253, 990, 1953, 406, 703, 105, 1326, 231, 6

Offset

1,1

Comments

The magic sum is 5720. Magic square with consecutive triangular numbers from 1 to 2080. Constructed by Sebastian A. da Silva using Pfeffermanna's first bimagic square.

Links

Table of n, a(n) for n=1..64.

Christian Boyer, Magic square with triangular numbers.

Example

Here is the magic square:
1596 595 36 1653 171 1128 45 496
561 210 1485 1176 28 435 1770 55
351 946 91 276 2080 741 10 1225
190 15 630 465 1431 78 1081 1830
120 325 2016 3 861 300 1275 820
21 1540 153 66 666 1711 528 1035
1891 136 903 1378 378 1 780 253
990 1953 406 703 105 1326 231 6

Crossrefs

Sequence in context: A028893 A029561 A015281 * A224946 A316335 A179248

Adjacent sequences: A132651 A132652 A132653 * A132655 A132656 A132657

Keyword

fini,full,nonn,tabf

Author

Parthasarathy Nambi, Nov 15 2007

Status

approved