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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 Harry J. Smith, Table of n, a(n) for n = 1..20000 Elizabeth Nelli, Spiral of Theodorus. Index entries for algebraic numbers, degree 2 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 Adjacent sequences: A010470 A010471 A010472 * A010474 A010475 A010476 KEYWORD nonn,cons,easy AUTHOR N. J. A. Sloane. STATUS approved

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