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Search: id:A096495
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| A096495 |
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Number of distinct terms in period of continued fraction of square root of n-th prime. |
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+0
2
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| 1, 2, 1, 2, 2, 2, 1, 4, 3, 3, 4, 1, 2, 4, 3, 3, 4, 5, 5, 4, 3, 3, 2, 3, 3, 1, 5, 4, 6, 3, 6, 4, 3, 6, 5, 7, 5, 6, 3, 3, 6, 6, 6, 5, 1, 7, 8, 3, 2, 3, 3, 6, 5, 5, 1, 4, 2, 7, 7, 5, 6, 3, 6, 6, 6, 5, 8, 6, 5, 4, 4, 3, 7, 3, 9, 4, 3, 7, 1, 6, 6, 8, 7, 6, 3, 2, 5, 7, 5, 9, 4, 6, 9, 8, 4, 4, 6, 6, 8, 9, 8, 2, 4, 6, 10
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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n=31,p[31]=127: the period={3,1,2,2,7,11,7,2,2,1,3,22}, so
a[31]=6;
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MATHEMATICA
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{te=Table[0, {m}], u=1}; Do[s=Length[Union[Last[ContinuedFraction[Prime[n]^(1/2)]]]]; te[[u]]=s; u=u+1, {n, 1, m}]; te
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CROSSREFS
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Cf. A003285, A054269, A005980, A096491-A096496.
Adjacent sequences: A096492 A096493 A096494 this_sequence A096496 A096497 A096498
Sequence in context: A104640 A016727 A054992 this_sequence A011776 A098965 A016443
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KEYWORD
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cofr,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 29 2004
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