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A040142 Continued fraction for sqrt(155). 0
12, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2, 24, 2, 4, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..71.

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1).

FORMULA

a(n)=(1/6)*{-25*(n mod 4)+11*[(n+1) mod 4]+5*[(n+2) mod 4]+41*[(n+3) mod 4]}-12*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jun 10 2009]

MAPLE

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

MATHEMATICA

ContinuedFraction[Sqrt[155], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 23 2011*)

CROSSREFS

Sequence in context: A010205 A080496 A098781 * A169855 A054383 A036383

Adjacent sequences:  A040139 A040140 A040141 * A040143 A040144 A040145

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 20 10:41 EDT 2019. Contains 326150 sequences. (Running on oeis4.)