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Search: id:A059854
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| A059854 |
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Quotient cycle length of Sqrt(n^2+5) from n=3,... |
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+0
1
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| 4, 6, 2, 3, 6, 8, 10, 2, 4, 9, 4, 14, 2, 16, 6, 12, 12, 2, 16, 22, 10, 24, 2, 24, 12, 24, 16, 2, 6, 26, 30, 26, 2, 7, 20, 12, 18, 2, 18, 11, 20, 64, 2, 20, 30, 19, 22, 2, 40, 20, 10, 50, 2, 10, 38, 74, 14, 2, 22, 64, 50, 72, 2, 48, 10, 30, 48, 2, 22, 51, 10, 36, 2, 34, 12, 47, 46, 2
(list; graph; listen)
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OFFSET
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3,1
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FORMULA
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with(numtheory): [seq(nops(cfrac(sqrt(k^2+5), 'periodic', 'quotients')[2]), k=3..256)];
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EXAMPLE
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If n=5k than a(n)=2, otherwise changing. Cycles for n=13, 14, 15 and 16:[5, 4, 5, 26]], [5, 1, 1, 1, 2, 1, 8, 1, 2, 1, 1, 1, 5, 28]], [6, 30]], [6, 2, 3, 7, 1, 3, 1, 2, 1, 3, 1, 7, 3, 2, 6, 32]]
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CROSSREFS
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Cf. A002496, A005575, A056899, A049423, A056903.
Adjacent sequences: A059851 A059852 A059853 this_sequence A059855 A059856 A059857
Sequence in context: A124259 A106143 A077158 this_sequence A010669 A029677 A045867
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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), Feb 27 2001
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