

A223857


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


0



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.


CROSSREFS

Cf. A063011, A024364.
Sequence in context: A228909 A126781 A090008 * A003938 A052720 A166759
Adjacent sequences: A223854 A223855 A223856 * A223858 A223859 A223860


KEYWORD

nonn,easy


AUTHOR

Mihir Mathur, Apr 02 2013


EXTENSIONS

Corrected and extended by Giovanni Resta, Apr 03 2013


STATUS

approved



