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

1378, 171, 496, 1653, 630, 15, 36, 1081, 105, 820, 703, 6, 325, 2016, 1275, 210, 861, 120, 3, 666, 1953, 300, 231, 1326, 190, 1431, 1596, 465, 10, 595, 1128, 45, 0, 741, 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

Offset

1,1

Comments

The magic sum = 5460 is also a triangular number.

References

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

Links

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

Eric Weisstein's World of Mathematics, Magic Square

Index entries for sequences related to magic squares

Example

Let a(n) = A000217(k). Then the k's are:
|---|---|---|---|---|---|---|---|
| 52| 18| 31| 57| 35| 5 | 8 | 46|
|---|---|---|---|---|---|---|---|
| 14| 40| 37| 3 | 25| 63| 50| 20|
|---|---|---|---|---|---|---|---|
| 41| 15| 2 | 36| 62| 24| 21| 51|
|---|---|---|---|---|---|---|---|
| 19| 53| 56| 30| 4 | 34| 47| 9 |
|---|---|---|---|---|---|---|---|
| 0 | 38| 43| 13| 23| 49| 60| 26|
|---|---|---|---|---|---|---|---|
| 58| 28| 17| 55| 45| 11| 6 | 32|
|---|---|---|---|---|---|---|---|
| 29| 59| 54| 16| 10| 44| 33| 7 |
|---|---|---|---|---|---|---|---|
| 39| 1 | 12| 42| 48| 22| 27| 61|
|---|---|---|---|---|---|---|---|

Crossrefs

Cf. A000217, A132362, A132648.

Sequence in context: A323815 A352731 A307422 * A260368 A323814 A204056

Adjacent sequences: A256624 A256625 A256626 * A256628 A256629 A256630

Keyword

nonn,fini,full,tabf

Author

Arkadiusz Wesolowski, Apr 05 2015

Status

approved