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Search: id:A158317
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| 399, 799, 1199, 1599, 1999, 2399, 2799, 3199, 3599, 3999, 4399, 4799, 5199, 5599, 5999, 6399, 6799, 7199, 7599, 7999, 8399, 8799, 9199, 9599, 9999, 10399, 10799, 11199, 11599, 11999, 12399, 12799, 13199, 13599, 13999, 14399, 14799, 15199
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OFFSET
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1,1
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COMMENT
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If A=[A158316] 400*n.^2-2*n (n>0, 398, 1596, 3594,.,); Y=[A010859] 20 (20, 20, 20 ,.,); X=[A158317] 400*n-1 (n>0, 399, 799, 1199, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 399^2-398*20^2=1; 799^2-1596*20^2=1; 1199^2-3594*20^2=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)=400*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=399; n=2, a(2)=799; n=3, a(3)=1199
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CROSSREFS
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Cf, A010859, A158316
Sequence in context: A158316 A046013 A126231 this_sequence A006972 A065767 A166915
Adjacent sequences: A158314 A158315 A158316 this_sequence A158318 A158319 A158320
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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 16 2009
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