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A071315
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Number of terms in the continued fraction of frac((3/2)^n).
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3
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1, 1, 3, 1, 4, 6, 5, 9, 7, 7, 4, 7, 12, 6, 9, 12, 9, 10, 9, 13, 18, 14, 12, 11, 12, 15, 16, 14, 10, 16, 23, 20, 28, 22, 17, 22, 23, 25, 30, 27, 25, 28, 30, 23, 30, 27, 25, 19, 17, 17, 22, 29, 32, 35, 35, 30, 32, 37, 36, 34, 36, 28, 39, 42, 44, 38, 36, 39, 38, 41, 46, 40, 32, 44
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OFFSET
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1,3
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COMMENTS
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What is the rate of growth of this sequence?
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 192-199.
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LINKS
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EXAMPLE
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a(3) = 3 since frac((3/2)^n) = [0;2,1,2] has 3 terms (2,1,2).
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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