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Search: id:A157961
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| 241, 483, 725, 967, 1209, 1451, 1693, 1935, 2177, 2419, 2661, 2903, 3145, 3387, 3629, 3871, 4113, 4355, 4597, 4839, 5081, 5323, 5565, 5807, 6049, 6291, 6533, 6775, 7017, 7259, 7501, 7743, 7985, 8227, 8469, 8711, 8953, 9195, 9437, 9679, 9921, 10163
(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=[A157960] 121*n.^2-n (120, 482, 1086,. ,.,); Y=[A010861] 22 (22, 22, 22,..,); X=[A157961] 242*n-1 (241, 483, 725, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 241^2-120 *22^2=1; 483^2-482*22^2=1; 725^2-1086*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)=242*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=241; n=2, a(2)=483; n=3, a(3)=725
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CROSSREFS
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Cf. A157960, A010861
Sequence in context: A137771 A108831 A068706 this_sequence A142233 A142275 A097020
Adjacent sequences: A157958 A157959 A157960 this_sequence A157962 A157963 A157964
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.ibrandi(AT)tin.it), Mar 10 2009
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