id:A040292 - OEIS Search Results

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Continued fraction for sqrt(310).

+0
1

17, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1 (list; graph; listen)

	OFFSET	`0,1`
	LINKS	`Index entries for continued fractions for constants`
	FORMULA	`a(n)=(1/960){-1949(n mod 16)+31[(n+1) mod 16]+31[(n+2) mod 16]+31[(n+3) mod 16]+271[(n+4) mod 16]-89[(n+5) mod 16]-89[(n+6) mod 16]+91[(n+7) mod 16]-29[(n+8) mod 16]+151[(n+9) mod 16]+151[(n+10) mod 16]-209[(n+11) mod 16]+31[(n+12) mod 16]+31[(n+13) mod 16]+31[(n+14) mod 16]+2011[(n+15) mod 16]}-17[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Apr 27 2009]`
	MAPLE	`with(numtheory): Digits := 300: convert(evalf(sqrt(310)), confrac);`
	CROSSREFS	`Sequence in context: A144692 A088469 A089170 this_sequence A040293 A040294 A040291` `Adjacent sequences: A040289 A040290 A040291 this_sequence A040293 A040294 A040295`
	KEYWORD	`nonn,cofr,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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