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Search: id:A157814
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| A157814 |
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a(n)=27225*n^2-2n (n>0) |
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+0
3
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| 27223, 108896, 245019, 435592, 680615, 980088, 1334011, 1742384, 2205207, 2722480, 3294203, 3920376, 4600999, 5336072, 6125595, 6969568, 7867991, 8820864, 9828187, 10889960, 12006183, 13176856, 14401979, 15681552, 17015575
(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=[A157814] 27225*n.^2-2*n (27223, 108896, 245019,.,); Y=[A157815] 8984250*n -330 (8983920, 17968170..,); X=[A157816] 1482401250*n^2-108900*n +1 (1482292351, 5129387201,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example:1482292351^2-27223 *8983920^2=1; 5929387201^2-108896*17968170^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Philippe Chevanne, Pell Equation
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FORMULA
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a(n)=27225*n^2-2n (n>0)
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EXAMPLE
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For n=1, a(1)=27223; n=2, a(2)=108896; n=3, a(3)=245019
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CROSSREFS
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Cf. A157815, A157816
Sequence in context: A159995 A037045 A127411 this_sequence A157820 A032746 A099230
Adjacent sequences: A157811 A157812 A157813 this_sequence A157815 A157816 A157817
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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 07 2009
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