

A010473


Decimal expansion of square root of 17.


12



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

1,1


COMMENTS

Continued fraction expansion is 4 followed by {8} repeated.  Harry J. Smith, Jun 05 2009
The spiral of Theodorus is an agglomeration of right triangles each having a hypotenuse with a length that is the square root of an integer. The original spiral stops at sqrt(17).  Alonso del Arte, Apr 30 2015


LINKS

Harry J. Smith, Table of n, a(n) for n = 1..20000
Elizabeth Nelli, Spiral of Theodorus.


EXAMPLE

4.123105625617660549821409855974077025147199225373620434398633573...


MATHEMATICA

RealDigits[N[Sqrt[17], 100]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 21 2011 *)


PROG

(PARI) { default(realprecision, 20080); x=sqrt(17); for (n=1, 20000, d=floor(x); x=(xd)*10; write("b010473.txt", n, " ", d)); } \\ Harry J. Smith, Jun 03 2009


CROSSREFS

Cf. A040012 (continued fraction).
Sequence in context: A213884 A117021 A222213 * A176041 A131100 A321091
Adjacent sequences: A010470 A010471 A010472 * A010474 A010475 A010476


KEYWORD

nonn,cons,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



