id:A040394 - OEIS Search Results

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Continued fraction for sqrt(415).

+0
1

20, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1 (list; graph; listen)

	OFFSET	`0,1`
	LINKS	`Index entries for continued fractions for constants`
	FORMULA	`a(n)=(1/1920){-4483(n mod 16)-43[(n+1) mod 16]+197[(n+2) mod 16]+317[(n+3) mod 16]+317[(n+4) mod 16]-523[(n+5) mod 16]+77[(n+6) mod 16]+317[(n+7) mod 16]-163[(n+8) mod 16]+77[(n+9) mod 16]+677[(n+10) mod 16]-163[(n+11) mod 16]-163[(n+12) mod 16]-43[(n+13) mod 16]+197[(n+14) mod 16]+4637[(n+15) mod 16]}-20[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Apr 30 2009]`
	MAPLE	`with(numtheory): Digits := 300: convert(evalf(sqrt(415)), confrac);`
	CROSSREFS	`Sequence in context: A040419 A164812 A040395 this_sequence A040393 A040396 A037926` `Adjacent sequences: A040391 A040392 A040393 this_sequence A040395 A040396 A040397`
	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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