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A083729 Decimal expansion of sqrt(2)/(sqrt(2)-1)^2 = 3*sqrt(2)+4. 2

%I #29 Sep 08 2022 08:45:10

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

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

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

%N Decimal expansion of sqrt(2)/(sqrt(2)-1)^2 = 3*sqrt(2)+4.

%H G. C. Greubel, <a href="/A083729/b083729.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals A010474 plus 4. - _R. J. Mathar_, Sep 17 2008

%F Equals Sum_{i>=1} i/sqrt(2)^i. - _Christoph B. Kassir_, Aug 30 2021

%e 8.242640687119285146405...

%t RealDigits[4 + 3*Sqrt[2], 10, 100][[1]] (* _G. C. Greubel_, Sep 11 2018 *)

%o (PARI) default(realprecision, 100); 4 + 3*sqrt(2) \\ _G. C. Greubel_, Sep 11 2018

%o (Magma) SetDefaultRealField(RealField(100)); 4 + 3*Sqrt(2); // _G. C. Greubel_, Sep 11 2018

%Y Cf. A010474, A072449.

%K cons,nonn

%O 1,1

%A _Benoit Cloitre_, Jun 15 2003

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Last modified September 11 05:49 EDT 2024. Contains 375814 sequences. (Running on oeis4.)