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Search: id:A158226
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| 223, 896, 2019, 3592, 5615, 8088, 11011, 14384, 18207, 22480, 27203, 32376, 37999, 44072, 50595, 57568, 64991, 72864, 81187, 89960, 99183, 108856, 118979, 129552, 140575, 152048, 163971, 176344, 189167, 202440, 216163, 230336, 244959, 260032
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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
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=225*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=223; n=2, a(2)=896; n=3, a(3)=2019
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CROSSREFS
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Cf. A010854, A158227
Sequence in context: A096660 A094459 A108819 this_sequence A152834 A139233 A153165
Adjacent sequences: A158223 A158224 A158225 this_sequence A158227 A158228 A158229
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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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