A120213 - OEIS

A120213

"a" values providing solution x != b in A120211, i.e., in y^2 = x*(a^2 - x)*(b^2 + x) with a, b legs in primitive Pythagorean triads.

4, 12, 12, 15, 15, 16, 20, 20, 21, 24, 24, 28, 28, 32, 33, 35, 36, 36, 39, 40, 40, 44, 44, 45, 48, 48, 51, 52, 52, 55, 56, 56, 57, 60, 60, 60, 60, 63, 64, 65, 68, 68, 69, 72, 72, 75, 76, 76, 77, 77

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..49.

EXAMPLE

Primitive Pythagorean triad: 4, 3, 5.

Weierstrass equation: y^2 = x*(4^2 - x)*(3^2 + x).

Smallest integer solution: (x, y) = (6,30).

As x != b, a = 4 is in the sequence.

CROSSREFS

Cf. A120210, A120211, A120212.

Sequence in context: A063608 A074258 A253137 * A005886 A096442 A211437

Adjacent sequences: A120210 A120211 A120212 * A120214 A120215 A120216

KEYWORD

nonn

AUTHOR

Giorgio Balzarotti, Paolo P. Lava, Jun 10 2006

STATUS

approved