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A040619 Continued fraction for sqrt(645). 2
25, 2, 1, 1, 12, 10, 12, 1, 1, 2, 50, 2, 1, 1, 12, 10, 12, 1, 1, 2, 50, 2, 1, 1, 12, 10, 12, 1, 1, 2, 50, 2, 1, 1, 12, 10, 12, 1, 1, 2, 50, 2, 1, 1, 12, 10, 12, 1, 1, 2, 50, 2, 1, 1, 12, 10, 12, 1, 1, 2, 50, 2, 1, 1, 12, 10, 12, 1, 1, 2, 50, 2, 1, 1, 12, 10, 12, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..77.

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)*{-2068*(n mod 10)+47*[(n+1) mod 10]+92*[(n+2) mod 10]+587*[(n+3) mod 10]+2*[(n+4) mod 10]+182*[(n+5) mod 10]-403*[(n+6) mod 10]+92*[(n+7) mod 10]+137*[(n+8) mod 10]+2252*[(n+9) mod 10]}-25*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 15 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(645)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[645], 120] (* or *) PadRight[{25}, 120, {50, 2, 1, 1, 12, 10, 12, 1, 1, 2}] (* Harvey P. Dale, Apr 23 2014 *)

CROSSREFS

Sequence in context: A040649 A104707 A040618 * A040617 A065781 A040616

Adjacent sequences:  A040616 A040617 A040618 * A040620 A040621 A040622

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 23 13:38 EST 2022. Contains 350511 sequences. (Running on oeis4.)