A223857 - OEIS

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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

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OFFSET

1,1

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.

LINKS

Table of n, a(n) for n=1..27.

Wikipedia, Pythagorean Triples

EXAMPLE

a(1) = (3+4+5)*(3*4*5) = 720.

a(2) = (5+12+13)*(5*12*13) = 23400.