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 A010502 #48 Aug 03 2025 10:22:23
%S A010502 6,9,2,8,2,0,3,2,3,0,2,7,5,5,0,9,1,7,4,1,0,9,7,8,5,3,6,6,0,2,3,4,8,9,
%T A010502 4,6,7,7,7,1,2,2,1,0,1,5,2,4,1,5,2,2,5,1,2,2,2,3,2,2,7,9,1,7,8,0,7,7,
%U A010502 3,2,0,6,7,6,3,5,2,0,0,1,4,8,3,2,4,5,8,4,7,4,7,0,2,8,9,9,4,3,0
%N A010502 Decimal expansion of square root of 48.
%C A010502 sqrt(48)/10 is the area enclosed by Koch's fractal snowflake based on unit-sided equilateral triangle (actually 8/5 times the latter's area). - _Lekraj Beedassy_, Jan 06 2005
%C A010502 7+sqrt(48) is the ratio of outer to inner Soddy circles' radii for three identical kissing circles (see Soddy circles link). - _Lekraj Beedassy_, Feb 14 2006
%C A010502 Continued fraction expansion is 6 followed by {1, 12} repeated. - _Harry J. Smith_, Jun 06 2009
%C A010502 Let a, b, c the sides of a triangle ABC of area S, then 4*sqrt(3) <= (a^2+b^2+c^2) / S; equality is obtained only when the triangle is equilateral (see Mitrinovic reference). - _Bernard Schott_, Sep 27 2022
%C A010502 Surface area of a gyroelongated square bipyramid (Johnson solid J_17) with unit edges. - _Paolo Xausa_, Aug 02 2025
%D A010502 J. N. Kapur, Mathematics Enjoyment For The Millions, Problem 47 pp. 64-67, Arya Book Depot, New Delhi 2000.
%D A010502 D. S. Mitrinovic, E. S. Barnes, D. C. B. Marsh, J. R. M. Radok, Elementary Inequalities, Tutorial Text 1 (1964), P. Noordhoff LTD, Groningen, problem 6.3, page 112.
%H A010502 Harry J. Smith, <a href="/A010502/b010502.txt">Table of n, a(n) for n = 1..20000</a>
%H A010502 L. Riddle, <a href="http://ecademy.agnesscott.edu/~lriddle/ifs/ksnow/area.htm">Area of the Koch Snowflake</a>
%H A010502 Bernard Schott, <a href="/A010502/a010502_1.png">Soddy circles</a>
%H A010502 Wikipedia, <a href="https://en.wikipedia.org/wiki/Gyroelongated_square_bipyramid">Gyroelongated square bipyramid</a>.
%H A010502 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>
%F A010502 Equals 4*A002194. - _R. J. Mathar_, Jul 31 2010
%F A010502 Equals A176053/A246724 - 7 (2nd comment and Soddy link). - _Bernard Schott_, Mar 17 2022
%F A010502 Equals 1/A020805. - _Bernard Schott_, Sep 28 2022
%e A010502 6.928203230275509174109785366023489467771221015241522512223227917807732...
%t A010502 RealDigits[N[Sqrt[48],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 24 2011 *)
%o A010502 (PARI) default(realprecision, 20080); x=sqrt(48); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010502.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 06 2009
%Y A010502 Cf. A040041 (continued fraction).
%Y A010502 Cf. A002194, A104956, A010527, A152623 (other geometric inequalities).
%K A010502 nonn,cons,easy
%O A010502 1,1
%A A010502 _N. J. A. Sloane_