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

1,1

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

Links

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

Example

7.874007874011811019685034448812007863681086122020853794598842550313760... - Harry J. Smith, Jun 07 2009

Mathematica

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

Prog

(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

Crossrefs

Cf. A001790, A005187, A020819.

Cf. A010146 Continued fraction. - Harry J. Smith, Jun 07 2009

Sequence in context: A193345 A197822 A055060 * A021131 A220610 A021931

Adjacent sequences: A010512 A010513 A010514 * A010516 A010517 A010518

Keyword

nonn,cons

Author

N. J. A. Sloane

Extensions

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

Status

approved