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.

A020763 Decimal expansion of 1/sqrt(6).

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%I A020763 #45 Jan 26 2025 13:19:25
%S A020763 4,0,8,2,4,8,2,9,0,4,6,3,8,6,3,0,1,6,3,6,6,2,1,4,0,1,2,4,5,0,9,8,1,8,
%T A020763 9,8,6,6,0,9,9,1,2,4,6,7,7,6,1,1,1,6,8,8,0,7,2,1,1,5,4,2,7,8,7,5,1,6,
%U A020763 0,0,6,2,9,0,9,5,5,2,5,0,4,4,2,3,3,0,9,9,0,5,5,1,7,4,4,0,0,3,9
%N A020763 Decimal expansion of 1/sqrt(6).
%C A020763 Radius of the inscribed sphere (tangent to all faces) in a regular octahedron with unit edge. - _Stanislav Sykora_, Nov 21 2013
%D A020763 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 A020763 Ivan Panchenko, <a href="/A020763/b020763.txt">Table of n, a(n) for n = 0..1000</a>
%H A020763 Wikipedia, <a href="http://en.wikipedia.org/wiki/Platonic_solid">Platonic solid</a>.
%H A020763 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.
%F A020763 From _Michal Paulovic_, Dec 09 2022: (Start)
%F A020763 Equals A157697/2 = A010503 * A020760 = 1/A010464.
%F A020763 Equals [0, 2; 2, 4] (periodic continued fraction expansion). (End)
%e A020763 0.408248290463863016366214012450981898660991246776111688072115427875...
%p A020763 evalf(1/sqrt(6)); # _Michal Paulovic_, Dec 09 2022
%t A020763 RealDigits[1/Sqrt[6], 10, 100][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Mar 04 2011 *)
%t A020763 realDigitsRecip[Sqrt[6]] (* The realDigitsRecip program is at A021200 *) (* _Harvey P. Dale_, Jan 10 2025 *)
%Y A020763 Cf. A010464, A157697.
%Y A020763 Cf. Platonic solids in radii: A020781 (tetrahedron), A179294 (icosahedron), A237603 (dodecahedron). - _Stanislav Sykora_, Feb 25 2014
%K A020763 nonn,cons,easy
%O A020763 0,1
%A A020763 _N. J. A. Sloane_