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Search: id:A157955
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| 199, 399, 599, 799, 999, 1199, 1399, 1599, 1799, 1999, 2199, 2399, 2599, 2799, 2999, 3199, 3399, 3599, 3799, 3999, 4199, 4399, 4599, 4799, 4999, 5199, 5399, 5599, 5799, 5999, 6199, 6399, 6599, 6799, 6999, 7199, 7399, 7599, 7799, 7999, 8199, 8399, 8599
(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=[A157659] 100*n.^2-n (99, 398, 897, ,.,); Y=[A010859] 20 (20, 20, 20,. ,.,); X=[A157955] 200*n-1 (199, 399, 599,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 199^2-99 *20^2=1; 399^2-398*20^2=1; 599^2-897*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)=200*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=199; n=2, a(2)=399; n=3, a(3)=599
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CROSSREFS
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Cf. A157659, A010859
Sequence in context: A106759 A004926 A004946 this_sequence A033168 A140632 A142814
Adjacent sequences: A157952 A157953 A157954 this_sequence A157956 A157957 A157958
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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 10 2009
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