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Decimal expansion of the ratio of the length of the latus rectum arc of any parabola to its focal length: sqrt(8) + log(3 + sqrt(8)).
0

%I #12 May 15 2019 12:42:44

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

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

%U 1,9,3,2,5,3,6,8,2,6,6,2,5,3,3,6,8,1,8,8,8,5,2,4,7,5,7,9,5,2,3,1,1,8

%N Decimal expansion of the ratio of the length of the latus rectum arc of any parabola to its focal length: sqrt(8) + log(3 + sqrt(8)).

%C Twice the universal parabolic constant A103710.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%e 4.591174298785276148068596098378980775195664407277166967859950693...

%t First@ RealDigits[N[# + Log[3 + #] &@ Sqrt@ 8, 102]] (* _Michael De Vlieger_, Oct 11 2015 *)

%o (PARI) sqrt(8) + log(3 + sqrt(8)) \\ _Michel Marcus_, Oct 11 2015

%Y Equals twice A103710. Equals A010466 + A244920.

%K cons,easy,nonn

%O 1,1

%A _Martin Janecke_, Oct 11 2015