A089015 Least odd short leg of n primitive Pythagorean triangles.

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

Offset: 1

Author

Lekraj Beedassy, Nov 04 2003

Keywords

• hard
• more
• nonn

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

Examples

			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.

Extensions

More terms from Joshua Zucker, May 13 2006