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A010171 Continued fraction for sqrt(103). 2
10, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20, 6, 1, 2, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/264)*{-291*(n mod 12)-93*[(n+1) mod 12]+39*[(n+2) mod 12]-5*[(n+3) mod 12]+17*[(n+4) mod 12]+193*[(n+5) mod 12]-159*[(n+6) mod 12]+17*[(n+7) mod 12]+39*[(n+8) mod 12]-5*[(n+9) mod 12]+127*[(n+10) mod 12]+325*[(n+11) mod 12]}-10*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jul 24 2009]

MATHEMATICA

ContinuedFraction[Sqrt[103], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011*)

CROSSREFS

Sequence in context: A276348 A281400 A283726 * A006518 A094175 A193952

Adjacent sequences:  A010168 A010169 A010170 * A010172 A010173 A010174

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 30 18:30 EDT 2017. Contains 284302 sequences.