id:A091942 - OEIS Search Results

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A091942

a(n) equals the maximum number of partial quotients in the simple continued fraction expansion of (1/n + 1/k) for k>=1.

+0
4

2, 6, 7, 8, 9, 9, 11, 11, 12, 11, 12, 14, 13, 13, 13, 13, 14, 13, 13, 14, 15, 14, 14, 14, 14, 15, 14, 15, 15, 15, 16, 16, 16, 17, 15, 16, 16, 16, 17, 15, 17, 17, 17, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 16, 19, 17, 19, 18, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 18, 19, 18 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) = length(contfrac(1/A091941(n) + 1/n)).`
	PROGRAM	`(PARI) {a(n)=local(A); M=0; for(k=2n^2-1, 3n^2, L=length(contfrac(1/k+1/n)); if(L>M, M=L; A=M)); A}`
	CROSSREFS	`Cf. A091941, A091943, A091944.` `Sequence in context: A140132 A096909 A073005 this_sequence A047555 A043050 A159843` `Adjacent sequences: A091939 A091940 A091941 this_sequence A091943 A091944 A091945`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Feb 15 2004`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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