A112768 - OEIS

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A112768

Sum of terms of continued fraction for prime(n+1)/prime(n).

3, 4, 5, 6, 8, 8, 11, 9, 10, 17, 12, 14, 23, 15, 14, 15, 32, 17, 21, 38, 19, 24, 20, 20, 29, 53, 30, 56, 32, 23, 36, 28, 71, 24, 77, 32, 33, 45, 34, 35, 92, 29, 98, 53, 101, 23, 24, 60, 116, 62, 45, 122, 35, 48, 49, 50, 137, 52, 74, 143, 35, 35, 81, 158, 83, 30, 62, 40, 176 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	EXAMPLE	`Prime(6)/prime(5) = 13/11 = 1 + 1/(5 + 1/2), so a(5) = 1+5+2 = 8.`
	MATHEMATICA	`Table[Plus @@ ContinuedFraction[Prime[n + 1]/Prime[n]], {n, 70}]`
	CROSSREFS	`Cf. A071866, A110021, A109374, A112323, A112324.` `Sequence in context: A153100 A143152 A096127 * A197354 A089399 A003619` `Adjacent sequences: A112765 A112766 A112767 * A112769 A112770 A112771`
	KEYWORD	`nonn`
	AUTHOR	`Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 18 2005`

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Last modified February 17 10:05 EST 2012. Contains 206009 sequences.