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A040930 Continued fraction for sqrt(962). 4
31, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..62.

Index entries for continued fractions for constants

Index entries for eventually constant sequences.

FORMULA

a(n)=62-31*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jun 03 2009

G.f.: -31*(x+1)/(x-1). [Colin Barker, Aug 11 2012]]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(962)), confrac);

MATHEMATICA

PadRight[{31}, 100, 62] (* Harvey P. Dale, Sep 18 2012 *)

CROSSREFS

Continued fraction for sqrt(a²+1) = (a, 2a, 2a, 2a....): A040000 (contfrac(sqrt(2)) = (1,2,2,...)), A040002, A040006, A040012, A040020, A040030, A040042, A040056, A040072, A040090, A040110 (contfrac(sqrt(122)) = (11,22,22,...)), A040132, A040156, A040182, A040210, A040240, A040272, A040306, A040342, A040380, A040420 (contfrac(sqrt(442)) = (21,42,42,...)), A040462, A040506, A040552, A040600, A040650, A040702, A040756, A040812, A040870 (contfrac(sqrt(901)) = (30,60,60,...)).

Sequence in context: A195745 A078855 A053430 * A115809 A303698 A164012

Adjacent sequences:  A040927 A040928 A040929 * A040931 A040932 A040933

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 21 10:00 EDT 2019. Contains 321368 sequences. (Running on oeis4.)