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A040385 Continued fraction for sqrt(406). 0
20, 6, 1, 2, 4, 7, 1, 4, 1, 7, 4, 2, 1, 6, 40, 6, 1, 2, 4, 7, 1, 4, 1, 7, 4, 2, 1, 6, 40, 6, 1, 2, 4, 7, 1, 4, 1, 7, 4, 2, 1, 6, 40, 6, 1, 2, 4, 7, 1, 4, 1, 7, 4, 2, 1, 6, 40, 6, 1, 2, 4, 7, 1, 4, 1, 7, 4, 2, 1, 6, 40, 6, 1, 2, 4, 7, 1, 4, 1, 7, 4, 2, 1, 6, 40, 6, 1, 2, 4, 7 (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, 1).

FORMULA

a(n)=(1/1274)*{-1208*(n mod 14)-389*[(n+1) mod 14]+157*[(n+2) mod 14]+248*[(n+3) mod 14]+339*[(n+4) mod 14]-480*[(n+5) mod 14]+339*[(n+6) mod 14]-207*[(n+7) mod 14]+612*[(n+8) mod 14]-207*[(n+9) mod 14]-116*[(n+10) mod 14]-25*[(n+11) mod 14]+521*[(n+12) mod 14]+1340*[(n+13) mod 14]}-20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(406)), confrac);

CROSSREFS

Sequence in context: A233820 A040387 A201137 * A161997 A274458 A327131

Adjacent sequences:  A040382 A040383 A040384 * A040386 A040387 A040388

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 6 04:42 EST 2021. Contains 341842 sequences. (Running on oeis4.)