A010494 Decimal expansion of square root of 40.

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

Offset

1,1

Links

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

Index entries for algebraic numbers, degree 2

Formula

Equals 2*A010467. - R. J. Mathar, Jan 14 2021

Equals 10 * Sum_{k>=1} Fibonacci(k)*binomial(2*k,k)/8^k. - Amiram Eldar, Jan 17 2022

Example

6.324555320336758663997787088865437067439110278650433653715009705585188....

Mathematica

RealDigits[N[Sqrt[40], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 24 2011 *)

Prog

(PARI)  default(realprecision, 20080); x=sqrt(40); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010494.txt", n, " ", d));  \\ Harry J. Smith, Jun 05 2009

Crossrefs

Cf. A040033 (continued fraction). - Harry J. Smith, Jun 05 2009

Cf. A000045, A010467.

Sequence in context: A356070 A153607 A369876 * A333239 A078333 A302852

Adjacent sequences: A010491 A010492 A010493 * A010495 A010496 A010497

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved