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A040351 Continued fraction for sqrt(371). 1
19, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1, 4, 1, 3, 38, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..86.

Index entries for continued fractions for constants

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

FORMULA

a(n) = (1/18)*{-95*(n mod 6)+4*[(n+1) mod 6]+19*[(n+2) mod 6]+[(n+3) mod 6]+16*[(n+4) mod 6]+115*[(n+5) mod 6]}-19*[C(2*n,n) mod 2], with n >= 0. [Paolo P. Lava, Apr 28 2009]

a(n) = a(n-6) for n>=7 with a(0) = 19. - Wesley Ivan Hurt, May 24 2021

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(371)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[371], 120] (* or *) PadRight[{19}, 120, {38, 3, 1, 4, 1, 3}] (* Harvey P. Dale, Nov 30 2021 *)

CROSSREFS

Sequence in context: A256635 A040359 A040360 * A040352 A349406 A040353

Adjacent sequences:  A040348 A040349 A040350 * A040352 A040353 A040354

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 4 18:13 EDT 2022. Contains 357239 sequences. (Running on oeis4.)