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Search: id:A031704
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| A031704 |
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Least term in period of continued fraction for sqrt(n) is 26. |
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+0
2
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| 170, 678, 1524, 2708, 4230, 6090, 8288, 10824, 13698, 16910, 20460, 24348, 28574, 33138, 38040, 43280, 48858, 54774, 61028, 67620, 74550, 81818, 89424, 97368, 105650, 114270, 123228, 132524, 133252, 142158, 152130, 162440, 173088, 184074
(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=[A031704] 169*n.^2+n (170, 678, 1524,. ,.,); Y=[A010865] 26 (26, 26, 26,..,); X=[A158000] 338*n+1 (339, 677, 1015, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 339^2-170 *26^2=1; 677^2-678*26^2=1; 1015^2-1524*26^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 11 2009]
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FORMULA
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a(n)=169*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. A010865, A158000 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 11 2009]
Sequence in context: A063943 A045089 A114078 this_sequence A133328 A098244 A114048
Adjacent sequences: A031701 A031702 A031703 this_sequence A031705 A031706 A031707
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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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