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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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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, 86022946, 2, 22119349, 2, 692630166, 2, 8247763078, 2, 43380360, 2, 15150768502, 2, 10229872316, 2, 36580802370, 2, 333495606762, 2, 676122216162, 2
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OFFSET
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1,2
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LINKS
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FORMULA
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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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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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