id:A083699 - OEIS Search Results

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Numerators of the continued fraction convergents which have the least possible prime denominators (A072999).

+0
3

1, 1, 2, 5, 12, 53, 330, 2693, 11102, 69305, 2644692, 26516225, 373871842, 6008465697, 36424666024, 78857797745, 982718238964, 23664095532881, 2367392271527064, 85249785870507185, 6310851546689058754 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`The n-th convergent is A086399(n)/A073999(n).`
	FORMULA	`a(1)=1, a(2)=1, a(n) = A083698(n)*a(n-1) + a(n-2) for n>2.`
	CROSSREFS	`Cf. A072999 (prime denominators), A083698 (partial quotients), A083700 (decimal expansion).` `Sequence in context: A109139 A038576 A002358 this_sequence A064636 A060807 A041095` `Adjacent sequences: A083696 A083697 A083698 this_sequence A083700 A083701 A083702`
	KEYWORD	`frac,nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), May 03 2003`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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