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A083699 Numerators of the continued fraction convergents which have the least possible prime denominators (A072999). 2
1, 1, 2, 5, 12, 53, 330, 2693, 11102, 69305, 2644692, 26516225, 373871842, 6008465697, 36424666024, 78857797745, 982718238964, 23664095532881, 2367392271527064, 85249785870507185, 6310851546689058754 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The n-th convergent is A086399(n)/A073999(n).

LINKS

Table of n, a(n) for n=1..21.

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 * A064636 A293023 A145857

Adjacent sequences:  A083696 A083697 A083698 * A083700 A083701 A083702

KEYWORD

frac,nonn

AUTHOR

Paul D. Hanna, May 03 2003

STATUS

approved

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Last modified June 13 16:17 EDT 2021. Contains 345008 sequences. (Running on oeis4.)