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A048851 Length of hypotenuse squared in right triangle formed by a prime spiral plotted in Cartesian coordinates. 3

%I #23 May 25 2023 12:49:55

%S 8,13,34,74,170,290,458,650,890,1370,1802,2330,3050,3530,4058,5018,

%T 6290,7202,8210,9530,10370,11570,13130,14810,17330,19610,20810,22058,

%U 23330,24650,28898,33290,35930,38090,41522,45002,47450,51218,54458

%N Length of hypotenuse squared in right triangle formed by a prime spiral plotted in Cartesian coordinates.

%D H. E. Huntley, The Divine Proportion, A Study in Mathematical Beauty. New York: Dover, 1970. See Chapter 13, Spira Mirabilis, especially Fig. 13-5, page 173.

%F To begin prime spiral, plot (2, 0), (0, 2). Square of hypotenuse is c^2 = a^2 + b^2, or 8 = 4 + 4, so a(1) = 8.

%F a(n) = A069484(n-1), n >= 2. - _Mamuka Jibladze_, Mar 24 2017

%e a(2) = 13 because c^2 = a^2 + b^2 = 4 + 9 = 13.

%Y Cf. A006094.

%K easy,nonn

%O 1,1

%A _Enoch Haga_

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Last modified April 24 05:33 EDT 2024. Contains 371918 sequences. (Running on oeis4.)