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Search: id:A010342
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| A010342 |
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Numbers n such that all terms in period of continued fraction for sqrt(n) except final term are 1. |
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+0
2
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| 3, 7, 8, 13, 15, 24, 32, 35, 48, 58, 63, 74, 75, 80, 99, 120, 135, 136, 143, 168, 185, 195, 215, 224, 255, 288, 312, 323, 346, 360, 399, 425, 427, 440, 483, 528, 557, 560, 575, 624, 675, 711, 728, 783, 818, 819, 840, 880, 899, 960
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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sqrt(a)=[q;(1,1,..,1,2q),..]=sqrt(q^2+b); 2q-1=(2m-1)*F(n+1), b-1=(2m-1)*F(n), m=1,2,3,.. n=1,3,4,6,7,9,10,12,13,.. F(n+1)odd numbers F(1)=1,F(2)=1,F(n+1)=F(n)+F(n-1), (F):1,1,2,3,5,8,13,21,34,55,89,.. Fibonacci sequence - Tom ORDO (ordo(AT)vp.pl), Jan 06 2007
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CROSSREFS
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Adjacent sequences: A010339 A010340 A010341 this_sequence A010343 A010344 A010345
Sequence in context: A108575 A050014 A132017 this_sequence A108873 A002312 A106474
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KEYWORD
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nonn
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AUTHOR
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njas, Walter Gilbert
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