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A216260 Hypotenuse of the smallest Pythagorean triple whose legs are m and 2m + n. 1

%I

%S 305,13,915,26,85,39,2135,52,2745,25,37,78,3965,91,255,104,5185,117,

%T 205,50,6405,41,7015,156,425,169,8235,182,125,75,65,208,111,221,595,

%U 234,11285,61,11895,100,377,273,13115,82,765,299,14335,312,14945,125

%N Hypotenuse of the smallest Pythagorean triple whose legs are m and 2m + n.

%C a(n) where n is divisible by k will not exceed a(k)*n/k. A consequence of this is that even if n is prime, a(n) will not exceed 305n (since a(1) = 305).

%H Giovanni Resta, <a href="/A216260/b216260.txt">Table of n, a(n) for n = 1..10000</a>

%e a(17) = 5185 because the smallest Pythagorean triple whose legs are m and 2m + 17 has hypotenuse 5185. m in this case = 2312, and 2m + 17 = 4641.

%t a[n_] := Block[{k = 1, h}, While[h = 5*k^2 + 4*k*n + n^2; Round[Sqrt@N@h]^2 != h, k++]; Sqrt@h]; Array[a, 50] (* _Giovanni Resta_, Mar 15 2013 *)

%K nonn

%O 1,1

%A _Elliott Line_, Mar 15 2013

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Last modified June 16 15:17 EDT 2019. Contains 324152 sequences. (Running on oeis4.)