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Search: id:A031694
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| A031694 |
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Least term in period of continued fraction for sqrt(n) is 16. |
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2
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| 65, 258, 579, 1028, 1605, 2310, 3143, 4104, 5193, 6410, 7755, 9228, 10829, 12558, 14415, 16400, 18513, 20754, 21042, 23123, 25620, 28245, 30998, 33879, 36888, 40025, 43290, 46683, 50204, 53853, 57630, 61535, 65568, 69729, 70258, 74018, 78435, 82980
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If A=[A031694] 64*n.^2+n (65, 258, 579,.,); Y=[A010855] 16 (16, 16, 16, ,.,); X=[A157951] 128*n+1 (129, 257, 385.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 129^2-65 *16^2=1; 257^2-258*16^2=1; 385^2-579*16^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 10 2009]
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FORMULA
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a(n)=64*n^2+n (n>0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 10 2009]
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CROSSREFS
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Cf. A157951, A010855 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 10 2009]
Sequence in context: A158686 A115342 A036547 this_sequence A152023 A165798 A158693
Adjacent sequences: A031691 A031692 A031693 this_sequence A031695 A031696 A031697
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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