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Search: id:A158131
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| 122, 243, 364, 485, 606, 727, 848, 969, 1090, 1211, 1332, 1453, 1574, 1695, 1816, 1937, 2058, 2179, 2300, 2421, 2542, 2663, 2784, 2905, 3026, 3147, 3268, 3389, 3510, 3631, 3752, 3873, 3994, 4115, 4236, 4357, 4478, 4599, 4720, 4841, 4962, 5083, 5204
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OFFSET
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1,1
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COMMENT
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If A=[A031689] 121*n.^2+2*n (n>0, 123, 488, 1095,.,. ,.,); Y=[A010850] 11 (11, 11, 11,.,); X=[A158131] 121*n+1 (n>0, 122, 243, 364, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 122^2-123*11^2=1; 243^2-488*11^2=1; 364^2-1095*11^2=1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
Edward Everett Withford, Pell Equation
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)=122; n=2, a(2)=243; n=3, a(3)=364
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CROSSREFS
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Cf. A031689, A010850
Sequence in context: A077030 A105983 A099154 this_sequence A004925 A070955 A116216
Adjacent sequences: A158128 A158129 A158130 this_sequence A158132 A158133 A158134
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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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