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Search: id:A158225
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| 195, 391, 587, 783, 979, 1175, 1371, 1567, 1763, 1959, 2155, 2351, 2547, 2743, 2939, 3135, 3331, 3527, 3723, 3919, 4115, 4311, 4507, 4703, 4899, 5095, 5291, 5487, 5683, 5879, 6075, 6271, 6467, 6663, 6859, 7055, 7251, 7447, 7643, 7839, 8035, 8231, 8427
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OFFSET
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1,1
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COMMENT
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If A=[A158224] 196*n.^2-2*n (n>0g 194, 780, 1758, , ,.,); Y=[A010853] 14 (14, 14, 14,.,); X=[A158225] 196*n-1 (n>0, 195, 391, 587, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 195^2-194*14^2=1; 391^2-780*14^2=1; 587^2-1758*14^2=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)=196*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=195; n=2, a2)=391; n=3, (3)=587
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CROSSREFS
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Cf. A010853, A158224
Sequence in context: A154938 A080394 A055970 this_sequence A080913 A157239 A158003
Adjacent sequences: A158222 A158223 A158224 this_sequence A158226 A158227 A158228
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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 14 2009
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