%I #7 Jul 16 2014 10:57:47
%S 8,1,7,5,1,2,1,1,2,4,7,8,0,2,0,6,6,0,1,5,8,3,2,0,6,0,8,5,1,2,1,7,9,3,
%T 3,5,1,2,4,6,9,6,0,6,1,6,7,4,9,4,5,9,6,7,8,8,0,1,3,3,5,0,0,5,4,3,4,8,
%U 1,1,6,0,2,2,8,3,9,9,0,7,8,8,2,1,5,1,0,0,2,1,9,5,6,2,7,3,9,0,3,0,2,5,9,7
%N Decimal expansion of a2, the second of two constants associated with Djokovic's conjecture on an integral inequality.
%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.1.1 Djokovic's Conjecture, p. 210.
%F 1 - A245279.
%F Positive root of 12*x^3 - 20*x^2 + 12*x - 3.
%F Equals (r - 8/r + 10)/18, where r = (27*sqrt(17)+109)^(1/3).
%e 0.81751211247802066015832060851217933512469606167494596788013350054348116...
%t a2 = 1 - Root[12*x^3 - 16*x^2 + 8*x - 1, x, 1]; RealDigits[a2, 10, 103] // First
%Y Cf. A245279.
%K nonn,cons,easy
%O 0,1
%A _Jean-François Alcover_, Jul 16 2014
|