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A071316
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Sum of terms of continued fraction expansion of (3/2)^n.
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1
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2, 4, 5, 16, 10, 10, 17, 13, 20, 74, 113, 32, 25, 76, 55, 31, 44, 86, 74, 46, 42, 100, 402, 115, 63, 71, 104, 143, 489, 346, 96, 78, 68, 87, 167, 196, 116, 95, 76, 123, 109, 108, 141, 176, 141, 133, 260, 1038, 4748, 5731, 1162, 285, 189, 248, 478, 399, 163, 154
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OFFSET
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1,1
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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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Table of n, a(n) for n=1..58.
S. R. Finch, Powers of 3/2
Jeff Lagarias, 3x+1 Problem
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EXAMPLE
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a(3) = 5 since frac((3/2)^3) = [0;2,1,2] and a(3) = 2 + 1 + 2.
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CROSSREFS
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Cf. A002379.
Sequence in context: A121410 A002959 A178436 * A056401 A056406 A070917
Adjacent sequences: A071313 A071314 A071315 * A071317 A071318 A071319
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Jun 11 2002
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STATUS
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approved
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