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A010151 Continued fraction for sqrt(73). 3
8, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 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, 0, 1).

FORMULA

a(n)=(1/49)*{-95*(n mod 7)+10*[(n+1) mod 7]+38*[(n+2) mod 7]+10*[(n+3) mod 7]-18*[(n+4) mod 7]+10*[(n+5) mod 7]+115*[(n+6) mod 7]}-8*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, Jul 24 2009

EXAMPLE

8.544003745317531167871648326... = 8 + 1/(1 + 1/(1 + 1/(5 + 1/(5 + ...)))). - Harry J. Smith, Jun 08 2009

MATHEMATICA

ContinuedFraction[Sqrt[73], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 20000); x=contfrac(sqrt(73)); for (n=0, 20000, write("b010151.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 08 2009

CROSSREFS

Cf. A010525 Decimal expansion. - Harry J. Smith, Jun 08 2009

Sequence in context: A197492 A153621 A159822 * A021556 A172428 A248581

Adjacent sequences:  A010148 A010149 A010150 * A010152 A010153 A010154

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 25 17:14 EDT 2021. Contains 347659 sequences. (Running on oeis4.)