A132648 A 7 X 7 magic square made from the first 49 triangular numbers, read by rows.

0, 378, 1176, 210, 595, 6, 435, 3, 351, 45, 465, 703, 1128, 105, 946, 171, 561, 820, 190, 21, 91, 741, 528, 36, 325, 120, 15, 1035, 1081, 300, 55, 496, 780, 10, 78, 28, 666, 66, 231, 276, 630, 903, 1, 406, 861, 253, 136, 990, 153

Offset

1,2

Comments

Magic square with consecutive triangular numbers from 0 to 1176.

The magic sum is 2800.

Links

Table of n, a(n) for n=1..49.

Christian Boyer, Magic square of the first triangular numbers.

Example

Here is the magic square:
...0 .378 1176 .210 .595 ...6 .435
...3 .351 ..45 .465 .703 1128 .105
.946 .171 .561 .820 .190 ..21 ..91
.741 .528 ..36 .325 .120 ..15 1035
1081 .300 ..55 .496 .780 ..10 ..78
..28 .666 ..66 .231 .276 .630 .903
...1 .406 .861 .253 .136 .990 .153

Crossrefs

Cf. A000217, A132362, A256627.

Sequence in context: A225440 A098840 A065702 * A157116 A071624 A058041

Adjacent sequences: A132645 A132646 A132647 * A132649 A132650 A132651

Keyword

fini,full,nonn,tabf

Author

Parthasarathy Nambi, Nov 15 2007

Status

approved