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A120890 Ordered odd leg of primitive Pythagorean triangles. 4
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 (list; graph; refs; listen; history; text; internal format)
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
D. N. Lehmer, Asymptotic evaluation of certain totient sums, Amer. J. Math. 22, 293-335, 1900.
CROSSREFS
Cf. A120427.
Sequence in context: A091569 A206545 A293703 * A321499 A134322 A186328
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, Jul 12 2006
EXTENSIONS
Corrected by T. D. Noe, Oct 25 2006
STATUS
approved

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Last modified February 20 21:52 EST 2024. Contains 370219 sequences. (Running on oeis4.)