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A010473 Decimal expansion of square root of 17. 14
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 (list; constant; graph; refs; listen; history; text; internal format)
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
The fundamental algebraic (integer) number in the field Q(sqrt(17)) is (1 + sqrt(17))/2 = A222132. - Wolfdieter Lang, Nov 21 2023
LINKS
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=(x-d)*10; write("b010473.txt", n, " ", d)); \\ Harry J. Smith, Jun 03 2009
CROSSREFS
Cf. A040012 (continued fraction), A222132.
Sequence in context: A213884 A117021 A222213 * A176041 A131100 A321091
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved

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Last modified February 22 05:54 EST 2024. Contains 370240 sequences. (Running on oeis4.)