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A040473 Continued fraction for sqrt(496). 0
22, 3, 1, 2, 4, 1, 1, 2, 2, 2, 1, 1, 4, 2, 1, 3, 44, 3, 1, 2, 4, 1, 1, 2, 2, 2, 1, 1, 4, 2, 1, 3, 44, 3, 1, 2, 4, 1, 1, 2, 2, 2, 1, 1, 4, 2, 1, 3, 44, 3, 1, 2, 4, 1, 1, 2, 2, 2, 1, 1, 4, 2, 1, 3, 44, 3, 1, 2, 4, 1, 1, 2, 2, 2, 1, 1, 4, 2, 1, 3, 44, 3, 1, 2, 4, 1, 1, 2, 2, 2 (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, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/960)*{2497*(n mod 16)-83*[(n+1) mod 16]+97*[(n+2) mod 16]+157*[(n+3) mod 16]-143*[(n+4) mod 16]+37*[(n+5) mod 16]+97*[(n+6) mod 16]+37*[(n+7) mod 16]+37*[(n+8) mod 16]-23*[(n+9) mod 16]+37*[(n+10) mod 16]+217*[(n+11) mod 16]-83*[(n+12) mod 16]-23*[(n+13) mod 16]+157*[(n+14) mod 16]+2497*[(n+15) mod 16]}-22*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 13 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(496)), confrac);

CROSSREFS

Sequence in context: A040482 A040483 A210647 * A040474 A040475 A065662

Adjacent sequences:  A040470 A040471 A040472 * A040474 A040475 A040476

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 29 13:28 EDT 2021. Contains 346346 sequences. (Running on oeis4.)