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Search: id:A158130
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| 120, 241, 362, 483, 604, 725, 846, 967, 1088, 1209, 1330, 1451, 1572, 1693, 1814, 1935, 2056, 2177, 2298, 2419, 2540, 2661, 2782, 2903, 3024, 3145, 3266, 3387, 3508, 3629, 3750, 3871, 3992, 4113, 4234, 4355, 4476, 4597, 4718, 4839, 4960, 5081, 5202
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If A=[A157040] 121*n.^2-2*n (n>0, 119, 480, 1083,.,. ,.,); Y=[A010850] 11 (11, 11, 11,.,); X=[A158130] 121*n-1 (n>0, 120, 241, 362, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 120^2-119*11^2=1; 241^2-480*11^2=1; 362^2-1083*11^2=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)=121*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=120; n=2, a(2)=241; n=3, a(3)=362
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CROSSREFS
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Cf. A157040, A010850
Sequence in context: A084142 A146950 A028976 this_sequence A070856 A000804 A076579
Adjacent sequences: A158127 A158128 A158129 this_sequence A158131 A158132 A158133
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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 13 2009
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