A010138 - OEIS

A010138

Continued fraction for sqrt(52).

7, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1, 2, 1, 4, 14, 4, 1

(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, 0, 0, 1).

EXAMPLE

7.211102550927978586238442534... = 7 + 1/(4 + 1/(1 + 1/(2 + 1/(1 + ...)))). - Harry J. Smith, Jun 06 2009

MATHEMATICA

ContinuedFraction[Sqrt[52], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)

PadRight[{7}, 120, {14, 4, 1, 2, 1, 4}] (* Harvey P. Dale, Nov 22 2018 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(52)); for (n=0, 20000, write("b010138.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009

CROSSREFS

Cf. A010505 Decimal expansion. - Harry J. Smith, Jun 06 2009

Sequence in context: A131028 A225463 A381685 * A371851 A199157 A376845

Adjacent sequences: A010135 A010136 A010137 * A010139 A010140 A010141

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved