A076596 Triangle read by rows: n-th row contains n numbers whose product is a square; all numbers in the triangle are distinct and the square is as small as possible.

1, 2, 8, 3, 4, 12, 5, 7, 10, 14, 6, 9, 15, 18, 20, 11, 13, 16, 22, 25, 26, 17, 19, 21, 27, 28, 34, 38, 23, 24, 30, 33, 35, 42, 44, 46

Offset: 1

Author

Donald S. McDonald, Nov 10 2002

Keywords

• nonn
• tabl
• more

Comments

Differs from A076031 and A076696.

Examples

			Triangle begins:
  1 = 1^2,
  2 * 8 = 4^2,
  3 * 4 * 12 = 12^2,
  5 * 7 * 10 * 14 = 70^2,
  6 * 9 * 15 * 18 * 20 = 540^2,
  11 * 13 * 16 * 22 * 25 * 26 = 5720^2,
  17 * 19 * 21 * 27 * 28 * 34 * 38 = 81396^2,
  23 * 24 * 30 * 33 * 35 * 42 * 44 * 46 = 1275120^2, ...
		

Links

• Sean A. Irvine, Java program (github)

Crossrefs

Cf. A076031, A076696.

Extensions

Name clarified and a(16)-a(36) from Sean A. Irvine, Apr 09 2025