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

1,1

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

Prog

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

Crossrefs

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

Sequence in context: A044889 A248159 A190679 * A099309 A327929 A327864

Adjacent sequences: A009020 A009021 A009022 * A009024 A009025 A009026

Keyword

nonn

Author

David W. Wilson

Status

approved