A010524 Decimal expansion of square root of 72.

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, 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, 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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

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

Continued fraction expansion is 8 followed by {2, 16} repeated. - Harry J. Smith, Jun 08 2009

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

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

Examples

			8.485281374238570292810132345258188471418031252261688439060078427944394...
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000
• Index entries for algebraic numbers, degree 2

Crossrefs

Cf. A040063 (continued fraction), A002193, A195284.

Programs

Mathematica

RealDigits[N[72^(1/2),200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 23 2012 *)

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

Formula

Equals 6*A002193. - Omar E. Pol, Mar 09 2021