A089015 Least odd short leg of n primitive Pythagorean triangles.

3, 33, 105, 315, 9009, 2145, 1155, 3045

Offset

1,1

Comments

a(9) is greater than 30000000, if it exists. a(12) through a(16) are 204435, 26565, 15015, 41055, 153153. - Joshua Zucker, May 13 2006

Links

Table of n, a(n) for n=1..8.

Example

a(3)=105 because 105 is the first odd short leg of the 3 primitive Pythagorean triples, viz. (105, 208, 233), (105, 608, 617), (105, 5512, 5513), followed by such triples of primitive Pythagorean triangles each starting with 165, 195, 231, 255, 273, 285, 429, 715, 765, 819, 935, 969, 1001, ...
Similarly, a(4)=315 because the group of 4 odd-short-leg primitive Pythagorean triangles (315, 572, 653), (315, 988, 1037), (315, 1972, 1997), (315, 49612, 49613) precedes all such groups of 4 primitive Pythagorean triangles each starting with 385, 455, 495, 693, ...

Crossrefs

Cf. A083883.

Sequence in context: A153783 A048911 A239345 * A292453 A292733 A062215

Adjacent sequences: A089012 A089013 A089014 * A089016 A089017 A089018

Keyword

hard,more,nonn

Author

Lekraj Beedassy, Nov 04 2003

Extensions

More terms from Joshua Zucker, May 13 2006

Status

approved