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A009023 Long legs of Pythagorean triangles. 9

%I #34 Jan 19 2019 03:17:26

%S 4,8,12,15,16,20,21,24,28,30,32,35,36,40,42,44,45,48,52,55,56,60,63,

%T 64,68,70,72,75,76,77,80,84,88,90,91,92,96,99,100,104,105,108,110,112,

%U 116,117,120,124,126,128,132,135,136,140,143,144,147,148,150,152,153,154,156

%N Long legs of Pythagorean triangles.

%C A227481(a(n)) > 1. - _Reinhard Zumkeller_, Oct 11 2013

%C This is A009012 (sorted A046084) without duplicates. - _Andrey Zabolotskiy_, Dec 27 2017

%C Does a(n)/n converge to some limit? - _Benoit Cloitre_, Oct 18 2009

%C For n = {52000, 72000, 100000}, n/a(n) = {0.499, 0.50175, 0.50428}. - _Alex Ratushnyak_, Jan 17 2019

%D Wacław Sierpiński, Pythagorean triangles, Dover books. [_Benoit Cloitre_, Oct 17 2009]

%H Reinhard Zumkeller, <a href="/A009023/b009023.txt">Table of n, a(n) for n = 1..1000</a>

%o (Haskell)

%o a009023 n = a009023_list !! (n-1)

%o a009023_list = filter ((> 1) . a227481) [1..]

%o -- _Reinhard Zumkeller_, Oct 11 2013

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

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)