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Search: id:A158399
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| 783, 1567, 2351, 3135, 3919, 4703, 5487, 6271, 7055, 7839, 8623, 9407, 10191, 10975, 11759, 12543, 13327, 14111, 14895, 15679, 16463, 17247, 18031, 18815, 19599, 20383, 21167, 21951, 22735, 23519, 24303, 25087, 25871, 26655, 27439, 28223
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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
Philippe Chevanne, Pell Equation
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FORMULA
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a(n)=784*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=783; n=2, a(2)=1567; n=3, a(3)=2351
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CROSSREFS
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Cf. A010867, A158398
Sequence in context: A158398 A003914 A045074 this_sequence A007243 A146978 A095954
Adjacent sequences: A158396 A158397 A158398 this_sequence A158400 A158401 A158402
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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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