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Search: id:A157444
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| 1122, 2453, 3784, 5115, 6446, 7777, 9108, 10439, 11770, 13101, 14432, 15763, 17094, 18425, 19756, 21087, 22418, 23749, 25080, 26411, 27742, 29073, 30404, 31735, 33066, 34397, 35728, 37059, 38390, 39721, 41052, 42383, 43714, 45045, 46376
(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=[A157443] 121*n.^2-38*n +3 (86,411,978,1787,.,); Y=[A157444] 1331*n-209 (1122, 2453,3784..,); X=[A157445] 14641*n^2-4598*n+362 (10405,49730,118337,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 10405^2-86*1122^2=1; 49730^2-411*2453^2=1; 118337^2-978*3784^2=1.
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LINKS
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Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=1331*n-209 (n>0)
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EXAMPLE
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For n=1, a(1)=1122; n=2, a(2)=2453; n=3, a(3)=3784
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CROSSREFS
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Cf. A157443, A157445
Sequence in context: A032779 A028464 A122052 this_sequence A158729 A035859 A105310
Adjacent sequences: A157441 A157442 A157443 this_sequence A157445 A157446 A157447
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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 01 2009
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