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.

A157260 Decimal expansion of (7 + 2*sqrt(2))/(7 - 2*sqrt(2)).

This page as a plain text file.
%I A157260 #15 Feb 11 2025 12:18:21
%S A157260 2,3,5,6,0,4,8,2,8,6,4,9,8,6,9,9,0,5,7,7,1,8,2,2,6,4,4,5,8,0,1,7,4,5,
%T A157260 0,2,9,2,6,7,0,9,2,9,8,8,0,6,2,3,0,6,0,0,1,1,9,3,8,3,0,0,6,4,9,6,9,2,
%U A157260 8,0,7,1,6,9,9,8,5,1,2,1,2,4,0,9,2,9,4,7,5,8,4,4,1,8,8,7,7,1,7,1,6,2,3,9,1
%N A157260 Decimal expansion of (7 + 2*sqrt(2))/(7 - 2*sqrt(2)).
%C A157260 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129288.
%C A157260 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A157257.
%H A157260 G. C. Greubel, <a href="/A157260/b157260.txt">Table of n, a(n) for n = 1..5000</a>
%H A157260 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.
%F A157260 Equals (57 + 28*sqrt(2))/41. - _Klaus Brockhaus_, May 01 2009
%e A157260 (7 +2*sqrt(2))/(7 -2*sqrt(2)) = 2.35604828649869905771...
%t A157260 RealDigits[(7 + 2*Sqrt[2])/(7 - 2*Sqrt[2]), 10, 50][[1]] (* _G. C. Greubel_, Nov 28 2017 *)
%o A157260 (PARI) (7+2*sqrt(2))/(7-2*sqrt(2)) \\ _G. C. Greubel_, Nov 28 2017
%o A157260 (Magma) [(7+2*Sqrt(2))/(7-2*Sqrt(2))]; // _G. C. Greubel_, Nov 28 2017
%Y A157260 Cf. A129288, A157257, A157258 (decimal expansion of 7+2*sqrt(2)), A157259 (decimal expansion of 7-2*sqrt(2)).
%Y A157260 Cf. A157300 (decimal expansion of (1683+58*sqrt(2))/41^2). - _Klaus Brockhaus_, May 01 2009
%K A157260 cons,nonn
%O A157260 1,1
%A A157260 _Klaus Brockhaus_, Feb 26 2009