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Search: id:A158272
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| 325, 649, 973, 1297, 1621, 1945, 2269, 2593, 2917, 3241, 3565, 3889, 4213, 4537, 4861, 5185, 5509, 5833, 6157, 6481, 6805, 7129, 7453, 7777, 8101, 8425, 8749, 9073, 9397, 9721, 10045, 10369, 10693, 11017, 11341, 11665, 11989, 12313, 12637, 12961
(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=[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+1 (n>0)
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EXAMPLE
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For n=1, a(1)=325; n=2, a(2)=649; n=3, a(3)=973
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CROSSREFS
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Cf. A010857, A158271
Sequence in context: A025286 A025304 A160580 this_sequence A031714 A133447 A031606
Adjacent sequences: A158269 A158270 A158271 this_sequence A158273 A158274 A158275
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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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