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A176218 Decimal expansion of (4 + 3*sqrt(2))/2. 3

%I #11 Sep 08 2022 08:45:52

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

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

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

%N Decimal expansion of (4 + 3*sqrt(2))/2.

%C Continued fraction expansion of (4 + 3*sqrt(2))/2 is A010713.

%H G. C. Greubel, <a href="/A176218/b176218.txt">Table of n, a(n) for n = 1..10000</a>

%e (4 + 3*sqrt(2))/2 = 4.12132034355964257320...

%p evalf((4+3*sqrt(2))/2,120); # _Muniru A Asiru_, Sep 29 2018

%t RealDigits[(4 + 3*Sqrt[2])/2, 10, 100][[1]] (* _G. C. Greubel_, Sep 29 2018 *)

%o (PARI) default(realprecision, 100); (4+3*sqrt(2))/2 \\ _G. C. Greubel_, Sep 29 2018

%o (Magma) SetDefaultRealField(RealField(100)); (4+3*Sqrt(2))/2; // _G. C. Greubel_, Sep 29 2018

%Y Cf. A002193 (decimal expansion of sqrt(2)), A010713 (repeat 4, 8).

%K cons,nonn

%O 1,1

%A _Klaus Brockhaus_, Apr 12 2010

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Last modified September 15 23:52 EDT 2024. Contains 375959 sequences. (Running on oeis4.)