Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #30 Aug 21 2023 10:26:06
%S 8,4,8,5,2,8,1,3,7,4,2,3,8,5,7,0,2,9,2,8,1,0,1,3,2,3,4,5,2,5,8,1,8,8,
%T 4,7,1,4,1,8,0,3,1,2,5,2,2,6,1,6,8,8,4,3,9,0,6,0,0,7,8,4,2,7,9,4,4,3,
%U 9,4,8,7,0,7,7,2,6,4,2,2,3,3,1,0,2,3,2,5,2,0,5,9,6,5,8,4,9,4,3
%N Decimal expansion of square root of 72.
%C This is also the ratio of the volume of a cube to the volume of a regular tetrahedron of the same edge length. - _Rick L. Shepherd_, May 29 2002
%C Continued fraction expansion is 8 followed by {2, 16} repeated. - _Harry J. Smith_, Jun 08 2009
%C Decimal expansion of shortest length, (B), of segment from side BC through incenter to side BA in right triangle ABC with sidelengths (a,b,c)=(8,15,17), see A195284. - _Clark Kimberling_, Sep 14 2011
%C Decimal expansion of shortest length, (B), of segment from side BC through incenter to side BA in right triangle ABC with sidelengths (a,b,c)=(7,24,25). - _Clark Kimberling_, Sep 14 2011
%H Harry J. Smith, <a href="/A010524/b010524.txt">Table of n, a(n) for n = 1..20000</a>
%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>
%F Equals 6*A002193. - _Omar E. Pol_, Mar 09 2021
%e 8.485281374238570292810132345258188471418031252261688439060078427944394...
%t RealDigits[N[72^(1/2),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 23 2012 *)
%o (PARI) default(realprecision, 20080); x=sqrt(72); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010524.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 08 2009
%Y Cf. A040063 (continued fraction), A002193, A195284.
%K nonn,cons
%O 1,1
%A _N. J. A. Sloane_