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Search: id:A093335
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| A093335 |
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a(0) = 0, a(1) = 1, and for n >= 0, a(n+2) = int(4 * a(n) * a(n+1) / (a(n) + a(n+1))). |
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3
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| 1, 1, 2, 2, 4, 5, 8, 12, 19, 29, 45, 70, 109, 170, 265, 414, 646, 1009, 1575, 2460, 3840, 5997, 9364, 14622, 22833, 35654, 55676, 86940, 135762, 211998, 331047, 516946, 807239, 1260545, 1968408, 3073772, 4799858, 7495231, 11704199, 18276724
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OFFSET
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0,3
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COMMENT
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Harmonic-mean analogue of Fibonacci sequence.
Terms in the Fibonacci sequence are equivalent to 2 times the arithmetic mean of the previous two terms. Terms in this sequence are int(2 times the harmonic mean of the previous two terms).
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EXAMPLE
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a(5) = 4 because a(5) = int(4 * (a(3) * a(4) / (a(3)+a(4))) = int(16/4) = 4
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CROSSREFS
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Cf. A000045, A093333, A093332.
Sequence in context: A078465 A094992 A079501 this_sequence A093333 A116085 A085570
Adjacent sequences: A093332 A093333 A093334 this_sequence A093336 A093337 A093338
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KEYWORD
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easy,nonn
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AUTHOR
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Robert A. Stump (rstump_2004(AT)yahoo.com), Apr 25 2004
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