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A010174
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Continued fraction for sqrt(108).
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3
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10, 2, 1, 1, 4, 1, 1, 2, 20, 2, 1, 1, 4, 1, 1, 2, 20, 2, 1, 1, 4, 1, 1, 2, 20, 2, 1, 1, 4, 1, 1, 2, 20, 2, 1, 1, 4, 1, 1, 2, 20, 2, 1, 1, 4, 1, 1, 2, 20, 2, 1, 1, 4, 1, 1, 2, 20, 2, 1, 1, 4, 1, 1, 2, 20, 2, 1, 1, 4, 1, 1, 2, 20, 2, 1, 1, 4
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..999
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, 1).
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FORMULA
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a(n) = (1/56)*(-118*(n mod 8) + ((n+1) mod 8) + 8*((n+2) mod 8) + 29*((n+3) mod 8) - 13*((n+4) mod 8) + 8*((n+5) mod 8) + 15*((n+6) mod 8) + 134*((n+7) mod 8)) - 10*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 24 2009
G.f.: (10 + 2*x + x^2 + x^3 + 4*x^4 + x^5 + x^6 + 2*x^7 + 10*x^8) / (1-x^8). - Wesley Ivan Hurt, Apr 22 2016
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MAPLE
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Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
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MATHEMATICA
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ContinuedFraction[Sqrt[108], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011 *)
CoefficientList[Series[(10 + 2 x + x^2 + x^3 + 4 x^4 + x^5 + x^6 + 2 x^7 + 10 x^8)/(1 - x^8), {x, 0, 100}], x] (* Wesley Ivan Hurt, Apr 22 2016 *)
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CROSSREFS
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Sequence in context: A359734 A057603 A040097 * A073755 A010173 A357339
Adjacent sequences: A010171 A010172 A010173 * A010175 A010176 A010177
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KEYWORD
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nonn,cofr
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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