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Search: id:A083698
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| A083698 |
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Partial quotients of the continued fraction which has convergents with the least possible prime denominators (A072999). |
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+0
3
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| 2, 1, 1, 2, 2, 4, 6, 8, 4, 6, 38, 10, 14, 16, 6, 2, 12, 24, 100, 36, 74, 46, 44, 52, 18, 8, 46, 114, 20, 70, 6, 38, 190, 44, 76, 14, 118, 218, 34, 14, 82, 32, 28, 110, 76, 126, 230, 46, 578, 138, 192, 306, 424, 38, 148, 468, 218, 210, 174, 300, 244, 60, 744, 482, 190, 344
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(1)=2, a(n)=floor(A072999(n)/A072999(n-1)) for n>1. By definition, when n>2, a(n)=(A072999(n)-A072999(n-2))/A072999(n-1) exactly.
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PROGRAM
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(PARI) l=1; h=2; print1(h, ", "); while(l<2^512, t=l+h; while(!isprime(t), t+=h); print1(floor(t/h), ", "); l=h; h=t)
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CROSSREFS
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Cf. A072999 (prime denominators), A083699 (numerators), A083700 (decimal).
Sequence in context: A153916 A045870 A036863 this_sequence A128976 A153902 A046772
Adjacent sequences: A083695 A083696 A083697 this_sequence A083699 A083700 A083701
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KEYWORD
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cofr,nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), May 03 2003
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