A223857 Ordered products of the perimeter and the sides of primitive Pythagorean triangles.

720, 23400, 81600, 235200, 852600, 1305360, 1328400, 5314320, 8414280, 9434880, 16893240, 18498480, 33918720, 43995600, 45561600, 46652760, 57757440, 106226640, 108617760, 154736400, 155263680, 184041000, 235227600, 361712400, 417740400, 451760400, 471711240

Offset: 1

Author

Mihir Mathur, Apr 02 2013

Keywords

• nonn
• easy

Comments

Considering the set of primitive Pythagorean triangles with sides (A, B, C), the sequence gives the values (A+B+C)*(A*B*C), in increasing order.

It is a challenge to find a pair of primitive Pythagorean triangles such that product of perimeter and the sides is equal.

Examples

			a(1) = (3+4+5)*(3*4*5) = 720.
a(2) = (5+12+13)*(5*12*13) = 23400.
		

Links

• Wikipedia, Pythagorean Triples

Crossrefs

Cf. A063011, A024364.

Extensions

Corrected and extended by Giovanni Resta, Apr 03 2013