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Search: id:A157626
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| A157626 |
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a(n)=100*n^2-151*n+57 (n>0) |
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+0
3
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| 6, 155, 504, 1053, 1802, 2751, 3900, 5249, 6798, 8547, 10496, 12645, 14994, 17543, 20292, 23241, 26390, 29739, 33288, 37037, 40986, 45135, 49484, 54033, 58782, 63731, 68880, 74229, 79778, 85527, 91476, 97625, 103974, 110523, 117272, 124221
(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=[A157626] 100*n.^2-151*n +57 (6, 155, 504 ,..,); Y=[A157627] 8000*n-6040 (1960, 9960, 17960..,); X=[A157628] 80000*n^2-120800*n+45601 (4801, 124001, 403201,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 4801^2-6*1960^2=1; 124001^2-155*9960^2=1; 403201^2-504*17960^2=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)=100*n^2-151*n+57 (n>0)
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EXAMPLE
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For n=1, a(1)=6; n=2, a(2)=155; n=3, a(3)=504
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CROSSREFS
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Cf. A157627, A157628
Sequence in context: A046182 A092122 A003460 this_sequence A128120 A030449 A120277
Adjacent sequences: A157623 A157624 A157625 this_sequence A157627 A157628 A157629
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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 03 2009
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