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Search: id:A062345
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| A062345 |
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Length of period of continued fraction expansion of square root of 3^n-1. |
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+0
1
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| 1, 2, 1, 2, 10, 2, 19, 2, 25, 2, 156, 2, 149, 2, 580, 2, 716, 2, 6461, 2, 2485, 2, 123256, 2, 64, 2, 8638, 2, 722190, 2, 3804214, 2, 1783536, 2, 3550696, 2
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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The period of sqrt(242) contains 10 terms: [1,1,3,1,14,1,3,1,1,30]
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MAPLE
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with(numtheory): [seq(nops(cfrac(sqrt(3^k-1), 'periodic', 'quotients')[2]), k=1..16)];
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MATHEMATICA
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Table[Length[Last[ContinuedFraction[Sqrt[ -1+3^u]]]], {u, 1, 36}]
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CROSSREFS
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Cf. A059866, A059926, A059927, A062328.
Sequence in context: A002079 A078357 A086382 this_sequence A077098 A069238 A165313
Adjacent sequences: A062342 A062343 A062344 this_sequence A062346 A062347 A062348
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jul 13 2001
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