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.
%I A344362 #26 Jun 29 2023 09:03:32
%S A344362 1,0,8,2,0,4,4,5,4,3,0,9,8,8,2,1,2,8,2,9,5,7,5,6,6,0,3,3,6,9,9,7,8,0,
%T A344362 6,6,5,8,7,5,7,4,7,4,7,4,6,3,3,5,9,1,9,5,5,1,4,3,2,8,8,4,7,6,5,9,8,3,
%U A344362 4,5,3,9,5,2,9,7,1,7,8,7,4,2,2,8,6,6,1,0,0,8,0,4,4,7,8,3,2,3,2,5,9,3,0,3,4
%N A344362 Decimal expansion of (5^(1/4) + 5^(-1/4))/2.
%C A344362 Solution for x in the system {x = 1/y + 1/z, y = x + 1/z, z = y + 1/x}. The corresponding values of y and z are 5^(1/4) and (5^(1/4) + 5^(3/4))/2.
%C A344362 The smallest aspect ratio of a set of three rectangles which have the property that any two of them can be scaled, rotated, and joined at an edge to obtain a rectangle with the third aspect ratio. The other two aspect ratios are given in the comment above.
%F A344362 Equals 5*A293409.
%F A344362 Equals sqrt(A176015).
%F A344362 Equals cosh(log(5)/4). - _Vaclav Kotesovec_, May 28 2021
%e A344362 1.082044543098821282957566033699780665875...
%t A344362 RealDigits[Cosh[Log[5]/4], 10, 120][[1]] (* _Amiram Eldar_, Jun 29 2023 *)
%o A344362 (PARI) solve(x=1, 2, 5*x^4 - 5*x^2 - 1) \\ _Hugo Pfoertner_, May 16 2021
%o A344362 (PARI) my(c=50+30*quadgen(20)); a_vector(len) = digits(sqrtint(floor(c*100^(len-2)))); \\ _Kevin Ryde_, May 28 2021
%Y A344362 Cf. A011003, A344363, A293409, A176015.
%K A344362 nonn,cons
%O A344362 1,3
%A A344362 _Daniel Carter_, May 15 2021