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A040244 Continued fraction for sqrt(261). 0
16, 6, 2, 3, 7, 1, 3, 1, 2, 1, 3, 1, 7, 3, 2, 6, 32, 6, 2, 3, 7, 1, 3, 1, 2, 1, 3, 1, 7, 3, 2, 6, 32, 6, 2, 3, 7, 1, 3, 1, 2, 1, 3, 1, 7, 3, 2, 6, 32, 6, 2, 3, 7, 1, 3, 1, 2, 1, 3, 1, 7, 3, 2, 6, 32, 6, 2, 3, 7, 1, 3, 1, 2, 1, 3, 1, 7, 3, 2, 6, 32, 6, 2, 3, 7, 1, 3, 1, 2, 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, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/48)*{-76*(n mod 16)-10*[(n+1) mod 16]+5*[(n+2) mod 16]+14*[(n+3) mod 16]-16*[(n+4) mod 16]+8*[(n+5) mod 16]-4*[(n+6) mod 16]+5*[(n+7) mod 16]-[(n+8) mod 16]+8*[(n+9) mod 16]-4*[(n+10) mod 16]+20*[(n+11) mod 16]-10*[(n+12) mod 16]-[(n+13) mod 16]+14*[(n+14) mod 16]+80*[(n+15) mod 16]}-16*C(2*n,n) mod 16], with n>=0 [From Paolo P. Lava, Apr 21 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(261)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[261], 120] (* or *) PadRight[{16}, 120, {32, 6, 2, 3, 7, 1, 3, 1, 2, 1, 3, 1, 7, 3, 2, 6}] (* Harvey P. Dale, Feb 25 2018 *)

CROSSREFS

Sequence in context: A070581 A057995 A097533 * A084527 A084517 A070568

Adjacent sequences:  A040241 A040242 A040243 * A040245 A040246 A040247

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 25 21:49 EDT 2022. Contains 356986 sequences. (Running on oeis4.)