%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_