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A040512 Continued fraction for sqrt(536). 1
23, 6, 1, 1, 2, 5, 2, 1, 1, 6, 46, 6, 1, 1, 2, 5, 2, 1, 1, 6, 46, 6, 1, 1, 2, 5, 2, 1, 1, 6, 46, 6, 1, 1, 2, 5, 2, 1, 1, 6, 46, 6, 1, 1, 2, 5, 2, 1, 1, 6, 46, 6, 1, 1, 2, 5, 2, 1, 1, 6, 46, 6, 1, 1, 2, 5, 2, 1, 1, 6, 46, 6, 1, 1, 2, 5, 2, 1, 1, 6, 46, 6, 1, 1, 2, 5, 2, 1, 1, 6 (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, 1).

FORMULA

a(n)=(1/450)*{-1729*(n mod 10)-154*[(n+1) mod 10]+71*[(n+2) mod 10]+116*[(n+3) mod 10]+206*[(n+4) mod 10]-64*[(n+5) mod 10]+26*[(n+6) mod 10]+71*[(n+7) mod 10]+296*[(n+8) mod 10]+1871*[(n+9) mod 10]}-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(536)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[536], 100] (* or *) PadRight[{23}, 120, {46, 6, 1, 1, 2, 5, 2, 1, 1, 6}] (* Harvey P. Dale, Aug 21 2016 *)

CROSSREFS

Sequence in context: A040514 A098103 A182919 * A158514 A040511 A264350

Adjacent sequences:  A040509 A040510 A040511 * A040513 A040514 A040515

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 8 11:31 EDT 2020. Contains 336298 sequences. (Running on oeis4.)