A009023 Long legs of Pythagorean triangles.

4, 8, 12, 15, 16, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 44, 45, 48, 52, 55, 56, 60, 63, 64, 68, 70, 72, 75, 76, 77, 80, 84, 88, 90, 91, 92, 96, 99, 100, 104, 105, 108, 110, 112, 116, 117, 120, 124, 126, 128, 132, 135, 136, 140, 143, 144, 147, 148, 150, 152, 153, 154, 156

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Comments

A227481(a(n)) > 1. - Reinhard Zumkeller, Oct 11 2013

This is A009012 (sorted A046084) without duplicates. - Andrey Zabolotskiy, Dec 27 2017

Does a(n)/n converge to some limit? - Benoit Cloitre, Oct 18 2009

For n = {52000, 72000, 100000}, n/a(n) = {0.499, 0.50175, 0.50428}. - Alex Ratushnyak, Jan 17 2019

References

• Wacław Sierpiński, Pythagorean triangles, Dover books. [Benoit Cloitre, Oct 17 2009]

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A074235 (complement), A009012, A046084, A227481.

Programs

Haskell

a009023 n = a009023_list !! (n-1)
a009023_list = filter ((> 1) . a227481) [1..]
-- Reinhard Zumkeller, Oct 11 2013