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A040511 Continued fraction for sqrt(535). 0
23, 7, 1, 2, 4, 1, 3, 1, 4, 2, 1, 7, 46, 7, 1, 2, 4, 1, 3, 1, 4, 2, 1, 7, 46, 7, 1, 2, 4, 1, 3, 1, 4, 2, 1, 7, 46, 7, 1, 2, 4, 1, 3, 1, 4, 2, 1, 7, 46, 7, 1, 2, 4, 1, 3, 1, 4, 2, 1, 7, 46, 7, 1, 2, 4, 1, 3, 1, 4, 2, 1, 7, 46, 7, 1, 2, 4, 1, 3, 1, 4, 2, 1, 7, 46, 7, 1, 2, 4, 1 (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, 1).

FORMULA

a(n)=(1/792)*{-2495*(n mod 12)-317*[(n+1) mod 12]+145*[(n+2) mod 12]+211*[(n+3) mod 12]-119*[(n+4) mod 12]+211*[(n+5) mod 12]-53*[(n+6) mod 12]+277*[(n+7) mod 12]-53*[(n+8) mod 12]+13*[(n+9) mod 12]+475*[(n+10) mod 12]+2653*[(n+11) mod 12]}-23*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 13 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(535)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[535], 100] (* or *) PadRight[{23}, 100, {46, 7, 1, 2, 4, 1, 3, 1, 4, 2, 1, 7}] (* Harvey P. Dale, Dec 01 2017 *)

CROSSREFS

Sequence in context: A182919 A040512 A158514 * A264350 A058287 A122706

Adjacent sequences:  A040508 A040509 A040510 * A040512 A040513 A040514

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 10 14:07 EDT 2021. Contains 342845 sequences. (Running on oeis4.)