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Search: id:A158313
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| 401, 801, 1201, 1601, 2001, 2401, 2801, 3201, 3601, 4001, 4401, 4801, 5201, 5601, 6001, 6401, 6801, 7201, 7601, 8001, 8401, 8801, 9201, 9601, 10001, 10401, 10801, 11201, 11601, 12001, 12401, 12801, 13201, 13601, 14001, 14401, 14801, 15201
(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=[A158312] 400*n.^2+2*n (n>0, 402, 1604, 3606,.,); Y=[A010859] 20 (20, 20, 20 ,.,); X=[A158313] 400*n+1 (n>0, 401, 801, 1201, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 401^2-402*20^2=1; 801^2-1604*20^2=1; 1201^2-3606*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)=401; n=2, a(2)=801; n=3,a(3)=1201
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CROSSREFS
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Cf. A010859, A158312
Sequence in context: A029705 A096991 A141026 this_sequence A094614 A104926 A031718
Adjacent sequences: A158310 A158311 A158312 this_sequence A158314 A158315 A158316
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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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