A040717 - OEIS

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A040717

Continued fraction for sqrt(745).

27, 3, 2, 1, 1, 5, 2, 10, 2, 5, 1, 1, 2, 3, 54, 3, 2, 1, 1, 5, 2, 10, 2, 5, 1, 1, 2, 3, 54, 3, 2, 1, 1, 5, 2, 10, 2, 5, 1, 1, 2, 3, 54, 3, 2, 1, 1, 5, 2, 10, 2, 5, 1, 1, 2, 3, 54, 3, 2, 1, 1, 5, 2, 10, 2, 5, 1, 1, 2, 3, 54, 3, 2, 1, 1, 5, 2, 10, 2, 5, 1, 1, 2, 3, 54, 3, 2 (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`
	FORMULA	`a(n)=(1/1274){-4549(n mod 14)+[(n+1) mod 14]+[(n+2) mod 14]+92[(n+3) mod 14]+456[(n+4) mod 14]-181[(n+5) mod 14]+820[(n+6) mod 14]-636[(n+7) mod 14]+365[(n+8) mod 14]-272[(n+9) mod 14]+92[(n+10) mod 14]+183[(n+11) mod 14]+183[(n+12) mod 14]+4733[(n+13) mod 14]}-27[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 20 2009]`
	MAPLE	`with(numtheory): Digits := 300: convert(evalf(sqrt(745)), confrac);`
	MATHEMATICA	`ContinuedFraction[Sqrt[745], 120] (* Harvey P. Dale, Sep 17 2012 *)`
	CROSSREFS	`Sequence in context: A040728 A040716 A040715 * A037930 A040718 A040719` `Adjacent sequences: A040714 A040715 A040716 * A040718 A040719 A040720`
	KEYWORD	`nonn,cofr,easy`
	AUTHOR	`N. J. A. Sloane.`
	STATUS	`approved`

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Last modified May 24 22:42 EDT 2013. Contains 225631 sequences.