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A040022 Continued fraction for sqrt(28). 3
5, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..20000

G. Xiao, Contfrac

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1).

FORMULA

a(n) = (1/2)*(-2*(n mod 4) + ((n+1) mod 4) + 2*((n+2) mod 4) + 5*((n+3) mod 4)) - 5*(binomial(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jun 09 2009

EXAMPLE

5.29150262212918118100323150... = 5 + 1/(3 + 1/(2 + 1/(3 + 1/(10 + ...)))). - Harry J. Smith, Jun 04 2009

MAPLE

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

MATHEMATICA

ContinuedFraction[Sqrt[28], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(28)); for (n=0, 20000, write("b040022.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 04 2009

CROSSREFS

Cf. A010483 Decimal expansion. - Harry J. Smith, Jun 04 2009

Sequence in context: A278647 A249802 A249574 * A165100 A159935 A165102

Adjacent sequences:  A040019 A040020 A040021 * A040023 A040024 A040025

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 21 19:40 EST 2019. Contains 320376 sequences. (Running on oeis4.)