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A097853
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Period of continued fraction for square root of n (or 1 if n is a square).
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6
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1, 1, 2, 1, 1, 2, 4, 2, 1, 1, 2, 2, 5, 4, 2, 1, 1, 2, 6, 2, 6, 6, 4, 2, 1, 1, 2, 4, 5, 2, 8, 4, 4, 4, 2, 1, 1, 2, 2, 2, 3, 2, 10, 8, 6, 12, 4, 2, 1, 1, 2, 6, 5, 6, 4, 2, 6, 7, 6, 4, 11, 4, 2, 1, 1, 2, 10, 2, 8, 6, 8, 2, 7, 5, 4, 12, 6, 4, 4, 2, 1, 1, 2, 2, 5, 10, 2, 6, 5, 2, 8, 8, 10, 16, 4, 4, 11, 4, 2, 1, 1, 2, 12
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OFFSET
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1,3
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LINKS
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EXAMPLE
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1 is a square. 2 has continued fraction [1;2,2,2...], 3 has [1;1,2,1,2,1,2...]. - Georg Fischer, Jun 14 2019
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MAPLE
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a:= n-> `if`(issqr(n), 1, nops(numtheory[cfrac](
sqrt(n), 'periodic', 'quotients')[2])):
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CROSSREFS
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See A003285, which is the main entry for this sequence.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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