A010515 Decimal expansion of square root of 62.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Sqrt(62) = 787400 * Sum_{n>=0} (A001790(n)/2^A005187(floor(n/2)) * 10^(-6n-5)) where A001790(n) are numerators in expansion of 1/sqrt(1-x) and the denominators in expansion of 1/sqrt(1-x) are 2^A005187(n). 786400 = 62*12700, see A020819 (expansion of 1/sqrt(62)). - Gerald McGarvey, Jan 01 2005

Continued fraction expansion is 7 followed by {1, 6, 1, 14} repeated. - Harry J. Smith, Jun 07 2009

Examples

			7.874007874011811019685034448812007863681086122020853794598842550313760...
		

Links

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

Crossrefs

Cf. A001790, A005187, A020819.

Cf. A010146 Continued fraction.

Programs

Mathematica

RealDigits[N[62^(1/2),200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 22 2012 *)

PARI

{ default(realprecision, 20080); x=sqrt(62); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010515.txt", n, " ", d)); } \\ Harry J. Smith, Jun 07 2009

Extensions

Final digits of sequence corrected using the b-file. - N. J. A. Sloane, Aug 30 2009