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A010154 Continued fraction for sqrt(76). 2
8, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5 (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, 0, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/396)*{-475*(n mod 12)+53*[(n+1) mod 12]-13*[(n+2) mod 12]+20*[(n+3) mod 12]+152*[(n+4) mod 12]-13*[(n+5) mod 12]+53*[(n+6) mod 12]-112*[(n+7) mod 12]+20*[(n+8) mod 12]+53*[(n+9) mod 12]-13*[(n+10) mod 12]+515*[(n+11) mod 12]}-8*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, Jul 24 2009

EXAMPLE

8.717797887081347104473963967... = 8 + 1/(1 + 1/(2 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, Jun 09 2009

MATHEMATICA

ContinuedFraction[Sqrt[76], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(76)); for (n=0, 20000, write("b010154.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 09 2009

CROSSREFS

Cf. A010528 Decimal expansion. - Harry J. Smith, Jun 09 2009

Sequence in context: A254244 A232068 A271547 * A109011 A225767 A019763

Adjacent sequences:  A010151 A010152 A010153 * A010155 A010156 A010157

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 30 01:14 EDT 2017. Contains 284294 sequences.