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A040923 Continued fraction for sqrt(954). 2
30, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..89.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/98)*{-405*(n mod 14)+50*[(n+1) mod 14]-34*[(n+2) mod 14]+36*[(n+3) mod 14]-6*[(n+4) mod 14]+[(n+5) mod 14]+36*[(n+6) mod 14]-20*[(n+7) mod 14]+15*[(n+8) mod 14]+22*[(n+9) mod 14]-20*[(n+10) mod 14]+50*[(n+11) mod 14]-34*[(n+12) mod 14]+421*[(n+13) mod 14]}-30*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jun 03 2009]

G.f.: -(x^2 +1)*(30*x^12 +x^11 -23*x^10 +28*x^8 +3*x^7 -26*x^6 +3*x^5 +28*x^4 -23*x^2 +x +30)/((x -1)*(x +1)*(x^6 -x^5 +x^4 -x^3 +x^2 -x +1)*(x^6 +x^5 +x^4 +x^3 +x^2 +x +1)). [Colin Barker, Aug 11 2012]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(954)), confrac);

CROSSREFS

Sequence in context: A040921 A040920 A040922 * A040924 A040925 A040926

Adjacent sequences:  A040920 A040921 A040922 * A040924 A040925 A040926

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 16 12:48 EST 2019. Contains 320163 sequences. (Running on oeis4.)