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Search: id:A031692
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| A031692 |
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Least term in period of continued fraction for sqrt(n) is 14. |
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2
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| 50, 198, 444, 788, 1230, 1770, 2408, 3144, 3978, 4910, 5940, 7068, 8294, 9618, 11040, 12560, 12784, 14178, 15894, 17708, 19620, 21630, 23738, 25944, 28248, 30650, 33150, 35748, 38444, 41238, 41645, 44130, 47120, 50208, 53394, 54318, 56678, 60060, 63540
(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=[A031692] 49*n.^2+n (50, 198, 444,.,); Y=[A010853] 14 (14, 14, 14, 14, ,.,); X=[A157947] 98*n+ 1 (99, 197, 295.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 99^2-50 *14^2=1; 197^2-198*14^2=1; 295^2-444*14^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 10 2009]
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FORMULA
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a(n)=49*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. A157947, A010853 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 10 2009]
Sequence in context: A160783 A085445 A048511 this_sequence A115592 A097371 A091883
Adjacent sequences: A031689 A031690 A031691 this_sequence A031693 A031694 A031695
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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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