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Search: id:A031706
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| A031706 |
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Least term in period of continued fraction for sqrt(n) is 28. |
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+0
3
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| 197, 786, 1767, 3140, 4905, 7062, 9611, 12552, 15885, 19610, 23727, 28236, 33137, 38430, 44115, 50192, 56661, 63522, 70775, 78420, 86457, 94886, 103707, 112920, 122525, 132522, 142911, 153692, 164865, 176430, 177270, 188387, 200736, 213477
(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=[A031706] 196*n.^2+n (197, 786, 1767,. ,.,); Y=[A010867] 28 (28, 28, 28,..,); X=[A158002] 392*n+1 (393, 785, 1177, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 393^2-197 *28^2=1; 785^2-786*28^2=1; 1177^2-1767*28^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 11 2009]
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FORMULA
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a(n)=196*n^2+n (n>0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 11 2009]
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CROSSREFS
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Cf. A010867, A158002 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 11 2009]
Sequence in context: A142230 A142414 A142812 this_sequence A031602 A097733 A114050
Adjacent sequences: A031703 A031704 A031705 this_sequence A031707 A031708 A031709
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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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