id:A065375 - OEIS Search Results

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The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to sqrt(2).

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1, 1, 3, 2, 4, 3, 7, 5, 17, 12, 24, 17, 41, 29, 99, 70, 140, 99, 239, 169, 577, 408, 816, 577, 1393, 985, 3363, 2378, 8119, 5741, 19601, 13860, 47321, 33461, 114243, 80782, 275807, 195025 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`"Next smallest" means that a(2n-1)+a(2n) is the smallest value that is greater than the previous pair.`
	EXAMPLE	`abs(1/1-sqrt(2)) > abs(3/2-sqrt(2)) > abs(4/3-sqrt(2)) > abs(7/5-sqrt(2)) > abs(17/12-sqrt(2)) > ... > 0`
	CROSSREFS	`Sequence in context: A024856 A023869 A024596 this_sequence A070961 A061721 A066257` `Adjacent sequences: A065372 A065373 A065374 this_sequence A065376 A065377 A065378`
	KEYWORD	`nonn`
	AUTHOR	`Bodo Zinser (BodoZinser(AT)Compuserve.com), Nov 22 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research