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A010156 Continued fraction for sqrt(78). 4
8, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16 (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)=(1/6)*{-17*(n mod 4)+10*[(n+1) mod 4]+[(n+2) mod 4]+28*[(n+3) mod 4]}-8*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, Jul 24 2009

EXAMPLE

8.83176086632784685476404272... = 8 + 1/(1 + 1/(4 + 1/(1 + 1/(16 + ...)))). - Harry J. Smith, Jun 09 2009

MATHEMATICA

ContinuedFraction[Sqrt[78], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 09 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(78)); for (n=0, 20000, write("b010156.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 09 2009

CROSSREFS

Cf. A010530 Decimal expansion. - Harry J. Smith, Jun 09 2009

Sequence in context: A110194 A199283 A079359 * A197590 A154190 A019981

Adjacent sequences:  A010153 A010154 A010155 * A010157 A010158 A010159

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 27 04:57 EST 2020. Contains 331291 sequences. (Running on oeis4.)