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Search: id:A157924
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| 97, 195, 293, 391, 489, 587, 685, 783, 881, 979, 1077, 1175, 1273, 1371, 1469, 1567, 1665, 1763, 1861, 1959, 2057, 2155, 2253, 2351, 2449, 2547, 2645, 2743, 2841, 2939, 3037, 3135, 3233, 3331, 3429, 3527, 3625, 3723, 3821, 3919, 4017, 4115, 4213, 4311
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OFFSET
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1,1
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COMMENT
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If A=[A157923] 49*n.^2-n (48, 194, 438,.,); Y=[A010853] 14 (14, 14, 14, 14, ,.,); X=[A157924] 98*n- 1 (97, 195, 293.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 97^2-48 *14^2=1; 195^2-194*14^2=1; 293^2-438*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)=98*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=97; n=2, a(2)=195; n=3, a(3)=293
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CROSSREFS
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Cf. A010853, A157923
Sequence in context: A142398 A133870 A060329 this_sequence A044429 A044810 A157410
Adjacent sequences: A157921 A157922 A157923 this_sequence A157925 A157926 A157927
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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 09 2009
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