cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A083729 #29 Sep 08 2022 08:45:10
%S A083729 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 A083729 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 A083729 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 A083729 Decimal expansion of sqrt(2)/(sqrt(2)-1)^2 = 3*sqrt(2)+4.
%H A083729 G. C. Greubel, <a href="/A083729/b083729.txt">Table of n, a(n) for n = 1..10000</a>
%F A083729 Equals A010474 plus 4. - _R. J. Mathar_, Sep 17 2008
%F A083729 Equals Sum_{i>=1} i/sqrt(2)^i. - _Christoph B. Kassir_, Aug 30 2021
%e A083729 8.242640687119285146405...
%t A083729 RealDigits[4 + 3*Sqrt[2], 10, 100][[1]] (* _G. C. Greubel_, Sep 11 2018 *)
%o A083729 (PARI) default(realprecision, 100); 4 + 3*sqrt(2) \\ _G. C. Greubel_, Sep 11 2018
%o A083729 (Magma) SetDefaultRealField(RealField(100)); 4 + 3*Sqrt(2); // _G. C. Greubel_, Sep 11 2018
%Y A083729 Cf. A010474, A072449.
%K A083729 cons,nonn
%O A083729 1,1
%A A083729 _Benoit Cloitre_, Jun 15 2003