A010524 - OEIS

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,1

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

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..20000

Index entries for algebraic numbers, degree 2

FORMULA

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

EXAMPLE

8.485281374238570292810132345258188471418031252261688439060078427944394...

MATHEMATICA

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

PROG

(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

CROSSREFS

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

Sequence in context: A021848 A021545 A141614 * A368250 A195344 A202998

Adjacent sequences: A010521 A010522 A010523 * A010525 A010526 A010527

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane

STATUS

approved