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Search: id:A157820
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| 27227, 108904, 245031, 435608, 680635, 980112, 1334039, 1742416, 2205243, 2722520, 3294247, 3920424, 4601051, 5336128, 6125655, 6969632, 7868059, 8820936, 9828263, 10890040, 12006267, 13176944, 14402071, 15681648, 17015675
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OFFSET
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1,1
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COMMENT
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If A=[A157820] 27225*n.^2+2*n (27227, 108904, 245031,.,); Y=[A157821] 8984250*n+330 (8984580, 17968830..,); X=[A157822] 1482401250*n^2+108900*n +1 (1482510151, 5929822801,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example:1482510151^2-27227 *8984580^2=1; 5929822801^2-108904*17968830^2=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*n (n>0)
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EXAMPLE
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For n=1, a(1)=27227,; n=2, a(2)=108904 n=3, a(3)=245031
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CROSSREFS
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Cf. A157821, A157822
Sequence in context: A037045 A127411 A157814 this_sequence A032746 A099230 A109481
Adjacent sequences: A157817 A157818 A157819 this_sequence A157821 A157822 A157823
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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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