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Search: id:A096492
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| A096492 |
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Number of distinct terms in continued fraction period of square root of n. |
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+0
2
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| 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 3, 2, 1, 1, 2, 4, 2, 3, 4, 3, 2, 1, 1, 2, 3, 3, 2, 4, 2, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 4, 3, 3, 5, 3, 2, 1, 1, 2, 4, 3, 4, 2, 2, 3, 2, 4, 3, 5, 3, 2, 1, 1, 2, 5, 2, 4, 3, 4, 2, 3, 2, 2, 5, 4, 3, 3, 2, 1, 1, 2, 2, 3, 4, 2, 3, 3, 2, 3, 4, 4, 6, 3, 3, 3, 3, 2, 1, 1, 2, 5, 2, 2
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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n=127: the period={3,1,2,2,7,11,7,2,2,1,3,22},distinct-terms={1,2,3,7,11,22}, so a[127]=6;
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MATHEMATICA
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{tc=Table[0, {m}], u=1}; Do[s=Length[Union[Last[ContinuedFraction[n^(1/2)]]]]; tc[[u]]=s; u=u+1, {n, 1, m}], tc
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CROSSREFS
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Cf. A003285, A013646, A096491, A096493.
Sequence in context: A051486 A081355 A060778 this_sequence A053874 A123245 A110535
Adjacent sequences: A096489 A096490 A096491 this_sequence A096493 A096494 A096495
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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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