A120890 Ordered odd leg of primitive Pythagorean triangles.

3, 5, 7, 9, 11, 13, 15, 15, 17, 19, 21, 21, 23, 25, 27, 29, 31, 33, 33, 35, 35, 37, 39, 39, 41, 43, 45, 45, 47, 49, 51, 51, 53, 55, 55, 57, 57, 59, 61, 63, 63, 65, 65, 67, 69, 69, 71, 73, 75, 75, 77, 77, 79, 81, 83, 85, 85, 87, 87, 89, 91, 91, 93, 93, 95, 95, 97, 99, 99, 101, 103

Offset

1,1

Comments

Ordered union of A081874 and A081934.

Conjecture: lim_{n->oo} a(n)/n = 1/Pi. Limit is also conjectured to be equal to lim_{n->oo} A120427(n)/n, see Selle reference, chapter 2.3.10. - Lothar Selle, Jun 21 2022

References

Lothar Selle, Kleines Handbuch Pythagoreische Zahlentripel, Books on Demand, 4th impression 2022, chapter 2.2.1., see chapter 2.3.10 for identity of lim_{n->oo} A120427(n)/n.

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

D. N. Lehmer, Asymptotic evaluation of certain totient sums, Amer. J. Math. 22, 293-335, 1900.

F. Richman, Pythagorean Triangles

Crossrefs

Cf. A061346, A081874, A081934, A120891.

Cf. A120427.

Sequence in context: A091569 A206545 A293703 * A321499 A134322 A186328

Adjacent sequences: A120887 A120888 A120889 * A120891 A120892 A120893

Keyword

nonn

Author

Lekraj Beedassy, Jul 12 2006

Extensions

Corrected by T. D. Noe, Oct 25 2006

Status

approved