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Search: id:A158330
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| 483, 967, 1451, 1935, 2419, 2903, 3387, 3871, 4355, 4839, 5323, 5807, 6291, 6775, 7259, 7743, 8227, 8711, 9195, 9679, 10163, 10647, 11131, 11615, 12099, 12583, 13067, 13551, 14035, 14519, 15003, 15487, 15971, 16455, 16939, 17423, 17907
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OFFSET
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1,1
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COMMENT
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If A=[A158329] 484*n.^2-2*n (n>0, 482, 1932, 4350,.,); Y=[A010861] 22 (22, 22, 22 ,.,); X=[A158330] 484*n-1 (n>0, 483, 967, 1451, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 483^2-482*22^2=1; 967^2-1932*22^2=1; 1451^2-4350*22^2=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)=484*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=483; n=2, a(2)=967; n=3, a(3)=1451
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CROSSREFS
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Cf. A010861, A158329
Sequence in context: A033983 A158329 A121734 this_sequence A156646 A014803 A085120
Adjacent sequences: A158327 A158328 A158329 this_sequence A158331 A158332 A158333
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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 16 2009
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