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Search: id:A031710
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| A031710 |
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Least term in period of continued fraction for sqrt(n) is 32. |
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+0
3
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| 257, 1026, 2307, 4100, 6405, 9222, 12551, 16392, 20745, 25610, 30987, 36876, 43277, 50190, 57615, 65552, 74001, 82962, 92435, 102420, 112917, 123926, 135447, 147480, 160025, 173082, 186651, 200732, 215325, 230430, 246047, 262176, 278817, 295970
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OFFSET
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1,1
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COMMENT
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If A=[A031710] 256*n.^2+n (n>0, 257, 1026, 2307,. ,.,); Y=[A010871] 32 (32, 32, 32,..,); X=[A076338] 512*n+1 (n>0, 513, 1025, 1537, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 513^2-257 *32^2=1; 1025^2-1026*32^2=1; 1537^2-2307*32^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 11 2009]
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FORMULA
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n(256n + 1).
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CROSSREFS
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Cf. A076338.
Sequence in context: A142291 A105131 A036549 this_sequence A070184 A054801 A031604
Adjacent sequences: A031707 A031708 A031709 this_sequence A031711 A031712 A031713
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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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