

A010480


Decimal expansion of square root of 24.


11



4, 8, 9, 8, 9, 7, 9, 4, 8, 5, 5, 6, 6, 3, 5, 6, 1, 9, 6, 3, 9, 4, 5, 6, 8, 1, 4, 9, 4, 1, 1, 7, 8, 2, 7, 8, 3, 9, 3, 1, 8, 9, 4, 9, 6, 1, 3, 1, 3, 3, 4, 0, 2, 5, 6, 8, 6, 5, 3, 8, 5, 1, 3, 4, 5, 0, 1, 9, 2, 0, 7, 5, 4, 9, 1, 4, 6, 3, 0, 0, 5, 3, 0, 7, 9, 7, 1, 8, 8, 6, 6, 2, 0, 9, 2, 8, 0, 4, 6, 9, 6, 3, 7, 1, 8
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OFFSET

1,1


COMMENTS

Continued fraction expansion is 4 followed by {1, 8} repeated.  Harry J. Smith, Jun 03 2009
The solution to the LaneEmden equation for a sphere of polytropic index n = 0.  Arkadiusz Wesolowski, Nov 11 2014
Using Bretschneider's formula this is the maximum area of a quadrilateral with side lengths of 1,2,3 and 4.  Scott R. Shannon, Jan 06 2020


LINKS

Harry J. Smith, Table of n, a(n) for n = 1..20000
Wikipedia, Bretschneider's formula.


EXAMPLE

4.898979485566356196394568149411782783931894961313340256865385134501920...  Harry J. Smith, Jun 03 2009


MATHEMATICA

RealDigits[N[Sqrt[24], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 22 2011 *)


PROG

(PARI) { default(realprecision, 20080); x=sqrt(24); for (n=1, 20000, d=floor(x); x=(xd)*10; write("b010480.txt", n, " ", d)); } \\ Harry J. Smith, Jun 03 2009


CROSSREFS

Cf. A040019 (continued fraction).  Harry J. Smith, Jun 03 2009
Cf. A090654.
Sequence in context: A108616 A200634 A154177 * A087021 A163409 A312828
Adjacent sequences: A010477 A010478 A010479 * A010481 A010482 A010483


KEYWORD

nonn,cons


AUTHOR

N. J. A. Sloane


EXTENSIONS

Final digits of sequence corrected using the bfile.  N. J. A. Sloane, Aug 30 2009


STATUS

approved



