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A040357 Continued fraction for sqrt(377). 1
19, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2, 38, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..83.

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)*{-43*(n mod 4)+11*[(n+1) mod 4]+11*[(n+2) mod 4]+65*[(n+3) mod 4]}-19*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 28 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(377)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[377], 100] (* or *) PadRight[{19}, 100, {38, 2, 2, 2}] (* Harvey P. Dale, May 28 2018 *)

CROSSREFS

Sequence in context: A040355 A166032 A040354 * A040358 A051312 A256635

Adjacent sequences:  A040354 A040355 A040356 * A040358 A040359 A040360

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 5 12:19 EDT 2022. Contains 357255 sequences. (Running on oeis4.)