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Search: id:A158065
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| 37, 73, 109, 145, 181, 217, 253, 289, 325, 361, 397, 433, 469, 505, 541, 577, 613, 649, 685, 721, 757, 793, 829, 865, 901, 937, 973, 1009, 1045, 1081, 1117, 1153, 1189, 1225, 1261, 1297, 1333, 1369, 1405, 1441, 1477, 1513, 1549, 1585, 1621
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OFFSET
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1,1
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COMMENT
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If A=[A158064] 36*n.^2+2*n (n>0, 38, 148, 330,., ,.,); Y=[A010722] 6 (6, 6, 6,..,); X=[A158065] 36*n+1 (n>0, 37, 73, 109, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 37^2-38*6^2=1; 73^2-148*6^2=1; 109^2-330*6^2=1.
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LINKS
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Wolfram MathWorld, Pell Equation
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=36*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=37; n=2, a(2)=73; n=3, a(3)=109
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CROSSREFS
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Cf. A158064, A010722
Sequence in context: A155087 A044103 A044484 this_sequence A142100 A093838 A055604
Adjacent sequences: A158062 A158063 A158064 this_sequence A158066 A158067 A158068
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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 12 2009
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