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Search: id:A158227
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| 224, 449, 674, 899, 1124, 1349, 1574, 1799, 2024, 2249, 2474, 2699, 2924, 3149, 3374, 3599, 3824, 4049, 4274, 4499, 4724, 4949, 5174, 5399, 5624, 5849, 6074, 6299, 6524, 6749, 6974, 7199, 7424, 7649, 7874, 8099, 8324, 8549, 8774, 8999, 9224, 9449, 9674
(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=[A158226] 225*n.^2-2*n (n>0g 223, 896, 2019, , ,.,); Y=[A010854] 15 (15, 15, 15,.,); X=[A158227] 225*n-1 (n>0, 224, 449, 674, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 224^2-223*15^2=1; 449^2-896*15^2=1; 674^2-2019*15^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=225*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=224; n=2, a(2)=449; n=3, a(3)=674
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CROSSREFS
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Cf. A010854, A158226
Sequence in context: A050241 A046296 A094209 this_sequence A061524 A156813 A146745
Adjacent sequences: A158224 A158225 A158226 this_sequence A158228 A158229 A158230
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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 14 2009
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