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A040434 Continued fraction for sqrt(456). 2
21, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 1, 4, 1, 2, 42, 2, 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)=(1/90)*{-548*(n mod 6)+37*[(n+1) mod 6]+97*[(n+2) mod 6]+7*[(n+3) mod 6]+67*[(n+4) mod 6]+652*[(n+5) mod 6]}-21*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(456)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[456], 100] (* or *) PadRight[{21}, 100, {42, 2, 1, 4, 1, 2}] (* Harvey P. Dale, Jan 21 2019 *)

CROSSREFS

Sequence in context: A132166 A092083 A040435 * A040437 A040436 A040438

Adjacent sequences:  A040431 A040432 A040433 * A040435 A040436 A040437

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 15 01:40 EDT 2019. Contains 328025 sequences. (Running on oeis4.)