id:A082408 - OEIS Search Results

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Least k such that the continued fraction for n/k contains no element >2.

+0
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2, 2, 2, 3, 5, 3, 6, 4, 8, 5, 5, 7, 6, 6, 12, 9, 7, 8, 8, 11, 46, 9, 10, 10, 18, 14, 12, 11, 12, 12, 22, 13, 14, 15, 74, 14, 15, 15, 29, 16, 31, 22, 18, 17, 34, 18, 18, 19, 34, 20, 106, 27, 21, 21, 21, 24, 118, 22, 122, 24, 24, 24, 25, 33, 49, 26, 46, 28, 26, 27, 27, 31, 29, 28, 55, 30 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n)>n iff n is in A055114. Note that there are very few composites in A055114 : 529,851...are the first.`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, s=1; while(abs(vecmax(contfrac(n/s))-2)>0, s++); s)`
	CROSSREFS	`Cf. A055114.` `Sequence in context: A022868 A133850 A160902 this_sequence A165918 A114639 A071867` `Adjacent sequences: A082405 A082406 A082407 this_sequence A082409 A082410 A082411`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 23 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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