A120212 "a" values providing solution x = b in A120211 (i.e., y^2 = b^2*(a^2 - b)*(b + 1) with a, b legs in primitive Pythagorean triangles).

3, 5, 7, 8, 9, 11, 13, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75

Offset

1,1

References

G. Balzarotti and P. P. Lava, Le sequenze di numeri interi, Hoepli, 2008, p. 47.

Links

Table of n, a(n) for n=1..37.

Example

First primitive Pythagorean triad: 3, 4, 5.
Weierstrass equation: y^2 = x*(3^2 - x)*(4^2 + x).
Smallest integer solution: (x, y) = (4,20).
As x = b, the first element in the sequence is a = 3.

Crossrefs

Sequence in context: A047486 A229838 A191257 * A093670 A185011 A175144

Adjacent sequences: A120209 A120210 A120211 * A120213 A120214 A120215

Keyword

nonn

Author

Giorgio Balzarotti, Paolo P. Lava, Jun 10 2006

Status

approved