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

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Examples

			6.324555320336758663997787088865437067439110278650433653715009705585188....
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000
• Index entries for algebraic numbers, degree 2

Crossrefs

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

Cf. A000045, A010467.

Programs

Mathematica

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

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

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