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Search: id:A062328
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| A062328 |
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Length of period of continued fraction expansion of square root of 3^n+1. |
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+0
2
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| 0, 1, 4, 1, 26, 1, 56, 1, 44, 1, 264, 1, 814, 1, 136, 1, 3730, 1, 20968, 1, 2448, 1, 287980, 1, 397238, 1, 2678, 1, 670896, 1, 8110044, 1, 20696, 1, 1066520, 1
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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The period of sqrt(244) contains 26 terms: [1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 9, 1, 6, 1, 9, 1, 1, 5, 1, 2, 1, 1, 1, 1, 1, 30], so a(5) = 26.
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MAPLE
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with(numtheory): [seq(nops(cfrac(sqrt(3^k+1), 'periodic', 'quotients')[2]), k=2..18)];
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MATHEMATICA
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Table[Last[ContinuedFraction[Sqrt[3^w+1]]], {w, 1, 36}]
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CROSSREFS
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Cf. A059866, A059926, A059927, A062682.
Sequence in context: A079621 A046860 A089505 this_sequence A136234 A135897 A039816
Adjacent sequences: A062325 A062326 A062327 this_sequence A062329 A062330 A062331
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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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