A010513 - OEIS

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A010513

Decimal expansion of square root of 60.

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

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OFFSET

1,1

COMMENTS

Continued fraction expansion is 7 followed by {1, 2, 1, 14} repeated. - Harry J. Smith, Jun 07 2009

LINKS

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

FORMULA

Equals 10 * sqrt(3/5) = 10 * Sum_{k>=0} (-1)^k * binomial(2*k,k)/6^k. - Amiram Eldar, Aug 03 2020

EXAMPLE

7.745966692414833770358530799564799221665843410583181653175147532226966... - Harry J. Smith, Jun 07 2009

MATHEMATICA

RealDigits[N[Sqrt[60], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 25 2011 *)

PROG

(PARI) { default(realprecision, 20080); x=sqrt(60); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010513.txt", n, " ", d)); } \\ Harry J. Smith, Jun 07 2009

CROSSREFS

Cf. A040052 (continued fraction). - Harry J. Smith, Jun 07 2009

Sequence in context: A086315 A185577 A201517 * A225402 A375190 A081824

Adjacent sequences: A010510 A010511 A010512 * A010514 A010515 A010516

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane

STATUS

approved