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Search: id:A158305
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| 322, 1292, 2910, 5176, 8090, 11652, 15862, 20720, 26226, 32380, 39182, 46632, 54730, 63476, 72870, 82912, 93602, 104940, 116926, 129560, 142842, 156772, 171350, 186576, 202450, 218972, 236142, 253960, 272426, 291540, 311302, 331712
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OFFSET
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1,1
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COMMENT
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If A=[A158305] 324*n.^2-2*n (n>0, 322, 1292, 2910,.,); Y=[A010857] 18 (18, 18, 18, ,.,); X=[A158306] 324*n-1 (n>0, 323, 647, 971, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 323^2-322*18^2=1; 647^2-1292*18^2=1; 971^2-2910*18^2=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)=324*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=322; n=2, a(2)=1292; n=3, a(3)=2910
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CROSSREFS
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Cf. A010857, A158306
Sequence in context: A004947 A004967 A114358 this_sequence A033524 A082947 A082948
Adjacent sequences: A158302 A158303 A158304 this_sequence A158306 A158307 A158308
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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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