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Search: id:A072727
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| A072727 |
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Denominator of the rationals >= 1 whose continued fractions consist of only even terms, in ascending order by the sum of the continued fraction terms and descending by lowest order continued fraction terms to highest. |
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+0
4
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| 0, 1, 1, 2, 1, 2, 4, 5, 1, 2, 4, 5, 6, 9, 9, 12, 1, 2, 4, 5, 6, 9, 9, 12, 8, 13, 17, 22, 13, 20, 22, 29, 1, 2, 4, 5, 6, 9, 9, 12, 8, 13, 17, 22, 13, 20, 22, 29, 10, 17, 25, 32, 25, 38, 40, 53, 17, 28, 38, 49, 32, 49, 53, 70
(list; graph; listen)
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OFFSET
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0,4
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1023
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FORMULA
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a(n) = A072726(m) where m = n - floor(log_2(n)). a(0) = 0, a(2^k) = 1, a(2^k + 1) = 2, a(2^k - 1) = the k-th Pell number.
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CROSSREFS
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Cf. A072726, A071585, A071766, A072728, A072729, A000129.
Sequence in context: A134005 A132320 A076369 this_sequence A057061 A034804 A050042
Adjacent sequences: A072724 A072725 A072726 this_sequence A072728 A072729 A072730
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KEYWORD
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easy,frac,nice,nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jul 09 2002
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