%I #22 Aug 21 2023 10:34:52
%S 8,8,9,8,9,7,9,4,8,5,5,6,6,3,5,6,1,9,6,3,9,4,5,6,8,1,4,9,4,1,1,7,8,2,
%T 7,8,3,9,3,1,8,9,4,9,6,1,3,1,3,3,4,0,2,5,6,8,6,5,3,8,5,1,3,4,5,0,1,9,
%U 2,0,7,5,4,9,1,4,6,3,0,0,5,3,0,7,9,7,1,8,8,6,6,2,0,9,2,8,0,4,6,9,6
%N Decimal expansion of 4 + 2*sqrt(6).
%C Equals n +n/(n +n/(n +n/(n +....))) for n = 8. See also A090388. - _Stanislav Sykora_, Jan 23 2014
%H G. C. Greubel, <a href="/A090654/b090654.txt">Table of n, a(n) for n = 1..10000</a>
%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>
%e 8.898979485566356196394568149...
%t RealDigits[4 + 2*Sqrt[6], 10, 50][[1]] (* _G. C. Greubel_, Jul 03 2017 *)
%o (PARI) 4 + 2*sqrt(6) \\ _G. C. Greubel_, Jul 03 2017
%Y Cf. A010480, A176213.
%Y Cf. n+n/(n+n/(n+...)): A090388 (n=2), A090458 (n=3), A090488 (n=4), A090550 (n=5), A092294 (n=6), A092290 (n=7), A090655 (n=9), A090656 (n=10). - _Stanislav Sykora_, Jan 23 2014
%K easy,nonn,cons
%O 1,1
%A _Felix Tubiana_, Feb 05 2004
|