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Search: id:A157824
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| A157824 |
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a(n)=3600*n^2-6751*n+3165 (n>0) |
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+0
3
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| 14, 4063, 15312, 33761, 59410, 92259, 132308, 179557, 234006, 295655, 364504, 440553, 523802, 614251, 711900, 816749, 928798, 1048047, 1174496, 1308145, 1448994, 1597043, 1752292, 1914741, 2084390, 2261239, 2445288, 2636537
(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=[A157824] 3600*n.^2-6751*n +3165 (14, 4063, 15312,.,); Y=[A157825] 1728000*n - 1620240 (107760, 1835760..,); X=[A157826] 103680000*n^2-194428800*n +91152001 (403201, 117014401,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example:403201^2-14 *107760^2=1; 117014401^2-4063*1835760^2=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)=3600*n^2-6751*n+3165 (n>0)
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MAPLE
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For n=1, a(1)=14; n=2, a(2)=4063; n=3, a(3)=15312
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CROSSREFS
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Cf. A157825, A157826
Sequence in context: A013719 A145188 A064075 this_sequence A159372 A060856 A030531
Adjacent sequences: A157821 A157822 A157823 this_sequence A157825 A157826 A157827
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)in.it), Mar 07 2009
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