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Decimal expansion of 8/sqrt(15).
12

%I #13 Aug 21 2023 10:31:17

%S 2,0,6,5,5,9,1,1,1,7,9,7,7,2,8,9,0,0,5,4,2,8,9,4,1,5,4,6,5,5,0,6,1,3,

%T 1,2,5,7,7,7,5,5,8,2,4,2,8,2,2,1,8,1,7,7,4,1,8,0,0,3,9,3,4,1,9,2,7,1,

%U 9,0,9,8,2,3,6,6,3,8,8,8,1,7,8,7,6,9,5,3,2,6,7,6,5,7,9,5,9,2,0,9,5,5,5,3,6

%N Decimal expansion of 8/sqrt(15).

%C Circumradius of the obtuse scalene triangle with sides of lengths 2, 3 and 4, the scalene triangle with least integer side lengths. See formulas in the Weisstein link.

%H Daniel Starodubtsev, <a href="/A140247/b140247.txt">Table of n, a(n) for n = 1..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Circumradius.html">Circumradius</a>.

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>

%F 8/sqrt(15) = 8/A010472.

%e 2.06559111797728900542894154655061312577755824282218177418003934192719098236...

%t RealDigits[8/Sqrt[15],10,120][[1]] (* _Harvey P. Dale_, May 06 2012 *)

%o (PARI) 8/sqrt(15)

%Y Cf. A140239, A140240, A140241, A140242, A140243, A140244, A140245, A140246, A140248, A140249, A088543, A010472.

%Y Equals sqrt(A331227(10)/A331228(10)) = sqrt(A331227(11)/A331228(11)), A331254, A331255, A331256 (list of triangles with integer sides sorted by circumradius).

%K cons,nonn

%O 1,1

%A _Rick L. Shepherd_, May 14 2008