A265197 Magic sums of 3 X 3 semimagic squares composed of triangular numbers.

711, 1251, 1527, 1712, 2132, 2486, 2616, 2812, 2934, 3357, 3441, 3781, 3812, 4156, 4288, 4842, 4971, 4972, 5034, 5346, 5382, 5659, 5842, 5886, 6147, 6159, 6402, 6734, 6747, 7062, 7312, 7403, 7592, 7722, 8034, 8102, 8342, 8831, 8862, 8961, 9092, 9117

Offset: 1

Author

Arkadiusz Wesolowski, Dec 04 2015

Keywords

• nonn

Comments

These semimagic squares are composed of 9 distinct triangular numbers >= 0.

Examples

			A semimagic square with sum 1527:
  |----|----|----|
  | 0  |351 |1176|
  |----|----|----|
  |666 |741 |120 |
  |----|----|----|
  |861 |435 |231 |
  |----|----|----|
		

Links

• Wikipedia, Triangular number
• Index entries for sequences related to magic squares

Crossrefs

Cf. A000217, A265141, A265198, A269060 (for positive triangular numbers).