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Search: id:A158398
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| 782, 3132, 7050, 12536, 19590, 28212, 38402, 50160, 63486, 78380, 94842, 112872, 132470, 153636, 176370, 200672, 226542, 253980, 282986, 313560, 345702, 379412, 414690, 451536, 489950, 529932, 571482, 614600, 659286, 705540, 753362, 802752
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OFFSET
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1,1
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COMMENT
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If A=[A158398] 784*n.^2-2*n (n>0, 782, 3132, 7050,.,); Y=[A010867] 28 (28, 28, 28, ,.,); X=[A158399] 784*n-1 (n>0, 783, 1567, 2351, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 783^2-782*28^2=1; 1567^2-3132*28^2=1; 2351^2-7050*28^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=784*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=782; n=2, a(2)=3132; n=3, a(3)=7050
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CROSSREFS
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Cf. A010867, A158399
Sequence in context: A038477 A141390 A006113 this_sequence A003914 A045074 A158399
Adjacent sequences: A158395 A158396 A158397 this_sequence A158399 A158400 A158401
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009
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