A010472 Decimal expansion of square root of 15.

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

Offset

1,1

Comments

Continued fraction expansion is 3 followed by {1, 6} repeated. - Harry J. Smith, Jun 03 2009

Links

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

Index entries for algebraic numbers, degree 2

Formula

Equals 3 + Sum_{k>=0} (-1)^k * binomial(2*k,k)/((k+1) * 6^k). - Amiram Eldar, May 06 2022

Example

3.87298334620741688517926539978239961083292170529159082658757376611348309193...

Maple

evalf[120](sqrt(15)); # Muniru A Asiru, Feb 12 2019

Mathematica

RealDigits[N[Sqrt[15], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 20 2011 *)

Prog

(PARI)  default(realprecision, 20080); x=sqrt(15); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010472.txt", n, " ", d));  \\ Harry J. Smith, Jun 03 2009

Crossrefs

Cf. A040011 (continued fraction).

Sequence in context: A296469 A010629 A016671 * A195435 A134903 A371527

Adjacent sequences: A010469 A010470 A010471 * A010473 A010474 A010475

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved