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A010186
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Continued fraction for sqrt(125).
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4
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11, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5, 22, 5, 1, 1, 5
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OFFSET
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0,1
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COMMENTS
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Periodic with period [5,1,1,5,22] of length 5 (after the initial term). - M. F. Hasler, Sep 09 2011
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LINKS
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Table of n, a(n) for n=0..74.
G. Xiao, 'Contfrac' tool on WIMS.
Index entries for continued fractions for constants
Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,1).
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FORMULA
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a(n)=(1/25)*{-68*(n mod 5)-3*[(n+1) mod 5]+17*[(n+2) mod 5]+37*[(n+3) mod 5]+102*[(n+4) mod 5]}-11*[C(2*n,n) mod 2], with n>=0. - From Paolo P. Lava, Jul 24 2009
G.f.: (11+5*x+x^2+x^3+5*x^4+11*x^5)/((1-x)*(1+x+x^2+x^3+x^4)). - Bruno Berselli, Sep 10 2011
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MATHEMATICA
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ContinuedFraction[Sqrt[125], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 12 2011*)
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PROG
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(PARI) default(realprecision, 199); contfrac(sqrt(125)) \\ M. F. Hasler
(PARI) a(n)=[22, 5, 1, 1, 5][n%5+1]-11*!n \\ - M. F. Hasler, Sep 09 2011
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CROSSREFS
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Cf. A172074.
Sequence in context: A166205 A141240 A038318 * A097531 A131029 A033331
Adjacent sequences: A010183 A010184 A010185 * A010187 A010188 A010189
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KEYWORD
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nonn,cofr,easy,nice
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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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