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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 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 STATUS approved

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