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Search: id:A158271
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| 326, 1300, 2922, 5192, 8110, 11676, 15890, 20752, 26262, 32420, 39226, 46680, 54782, 63532, 72930, 82976, 93670, 105012, 117002, 129640, 142926, 156860, 171442, 186672, 202550, 219076, 236250, 254072, 272542, 291660, 311426, 331840
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OFFSET
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1,1
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COMMENT
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If A=[A158271] 324*n.^2+2*n (n>0, 326, 1300, 2922,.,); Y=[A010857] 18 (18, 18, 18, ,.,); X=[A158272] 324*n+1 (n>0, 325, 649, 973, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 325^2-326*18^2=1; 649^2-1300*18^2=1; 973^2-2922*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)=326; n=2, a(2)=1300; n=3, a(3)=2922
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CROSSREFS
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Cf. A010857, A158272
Sequence in context: A066128 A138816 A138817 this_sequence A097737 A126311 A097738
Adjacent sequences: A158268 A158269 A158270 this_sequence A158272 A158273 A158274
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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 15 2009
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