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Search: id:A158070
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| 66, 260, 582, 1032, 1610, 2316, 3150, 4112, 5202, 6420, 7766, 9240, 10842, 12572, 14430, 16416, 18530, 20772, 23142, 25640, 28266, 31020, 33902, 36912, 40050, 43316, 46710, 50232, 53882, 57660, 61566, 65600, 69762, 74052, 78470, 83016
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OFFSET
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1,1
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COMMENT
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If A=[A158070] 64*n.^2+2*n (n>0, 66, 260, 582,.,. ,.,); Y=[A010731] 8 (8,8,8,.,..,); X=[A158071] 64*n+1 (n>0, 65, 129, 193, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 65^2-66*8^2=1; 129^2-260*8^2=1; 193^2-582*8^2=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)=64*n^2+2*n (n>0)
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EXAMPLE
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For n=1, a(1)=66; n=2, a(2)=260; n=3, a(3)=582
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CROSSREFS
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Cf. A010731, A158071
Sequence in context: A074873 A046393 A117306 this_sequence A120102 A084027 A063249
Adjacent sequences: A158067 A158068 A158069 this_sequence A158071 A158072 A158073
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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 12 2009
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