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 A010469 #87 Feb 16 2025 08:32:32
%S A010469 3,4,6,4,1,0,1,6,1,5,1,3,7,7,5,4,5,8,7,0,5,4,8,9,2,6,8,3,0,1,1,7,4,4,
%T A010469 7,3,3,8,8,5,6,1,0,5,0,7,6,2,0,7,6,1,2,5,6,1,1,1,6,1,3,9,5,8,9,0,3,8,
%U A010469 6,6,0,3,3,8,1,7,6,0,0,0,7,4,1,6,2,2,9,2,3,7,3,5,1,4,4,9,7,1,5
%N A010469 Decimal expansion of square root of 12.
%C A010469 3+sqrt(12) is the ratio of the radii of the three identical kissing circles to that of their inner Soddy circle. - _Lekraj Beedassy_, Mar 04 2006
%C A010469 sqrt(12)-3 = 2*sqrt(3)-3 is the area of the largest equilateral triangle that can be inscribed in a unit square (as stated in MathWorld/Weisstein link). - _Rick L. Shepherd_, Jun 24 2006
%C A010469 Continued fraction expansion is 3 followed by {2, 6} repeated (A040008). - _Harry J. Smith_, Jun 02 2009
%C A010469 Surface of a regular octahedron with unit edge, and twice the surface of a regular tetrahedron with unit edge. - _Stanislav Sykora_, Nov 21 2013
%C A010469 Imaginary part of the square of a complex cubic root of 64 (real part is -2). - _Alonso del Arte_, Jan 13 2014
%D A010469 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Sections 2.31.4 and 2.31.5, pp. 201-202.
%D A010469 Jan Gullberg, Mathematics from the Birth of Numbers, W. W. Norton & Co., NY & London, 1997, ยง12.4 Theorems and Formulas (Solid Geometry), p. 450.
%H A010469 Harry J. Smith, <a href="/A010469/b010469.txt">Table of n, a(n) for n = 1..20000</a>
%H A010469 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EquilateralTriangle.html">Equilateral Triangle</a>.
%H A010469 Wikipedia, <a href="http://en.wikipedia.org/wiki/Octahedron">Octahedron</a>.
%H A010469 Wikipedia, <a href="http://en.wikipedia.org/wiki/Platonic_solid">Platonic solid</a>.
%H A010469 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.
%F A010469 Equals 2*sqrt(3) = 2*A002194. - _Rick L. Shepherd_, Jun 24 2006
%e A010469 3.4641016151377545870548926830...
%p A010469 evalf[100](sqrt(12)); # _Muniru A Asiru_, Feb 12 2019
%t A010469 RealDigits[N[Sqrt[12], 200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 21 2011 *)
%o A010469 (PARI) default(realprecision, 20080); x=sqrt(12); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010469.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 02 2009
%Y A010469 Cf. A120683.
%Y A010469 Cf. A040008 (continued fraction), A041016 (numerators of convergents), A041017 (denominators).
%Y A010469 Cf. A002194 (surface of tetrahedron), A010527 (surface of icosahedron/10), A131595 (surface of dodecahedron).
%K A010469 nonn,cons,easy
%O A010469 1,1
%A A010469 _N. J. A. Sloane_