A083699 - OEIS

A083699

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

1, 1, 2, 5, 12, 53, 330, 2693, 11102, 69305, 2644692, 26516225, 373871842, 6008465697, 36424666024, 78857797745, 982718238964, 23664095532881, 2367392271527064, 85249785870507185, 6310851546689058754

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OFFSET

1,3

COMMENTS

The n-th convergent is A083699(n)/A072999(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 A355991 A376148

Adjacent sequences: A083696 A083697 A083698 * A083700 A083701 A083702

KEYWORD

frac,nonn

AUTHOR

Paul D. Hanna, May 03 2003

STATUS

approved