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Search: id:A158403
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| 843, 3368, 7575, 13464, 21035, 30288, 41223, 53840, 68139, 84120, 101783, 121128, 142155, 164864, 189255, 215328, 243083, 272520, 303639, 336440, 370923, 407088, 444935, 484464, 525675, 568568, 613143, 659400, 707339, 756960, 808263, 861248
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OFFSET
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1,1
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COMMENT
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If A=[A158403] 841*n.^2+2*n (n>0, 843, 3368, 7575,.,); Y=[A010868] 29 (29, 29, 29, ,.,); X=[A158404] 841*n+1 (n>0, 842, 1683, 2524, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 842^2-843*29^2=1; 1683^2-3368*29^2=1; 2524^2-7575*29^2=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)=841*n^2+2*n (n>0)
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EXAMPLE
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For n=1, a(1)=843; n=2, a(2)=3368; n=3, a(3)=7575
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CROSSREFS
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Cf. A010868, A158404
Adjacent sequences: A158400 A158401 A158402 this_sequence A158404 A158405 A158406
Sequence in context: A004949 A004969 A031707 this_sequence A114359 A038013 A078144
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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 18 2009
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