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Search: id:A158385
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| 678, 2708, 6090, 10824, 16910, 24348, 33138, 43280, 54774, 67620, 81818, 97368, 114270, 132524, 152130, 173088, 195398, 219060, 244074, 270440, 298158, 327228, 357650, 389424, 422550, 457028, 492858, 530040, 568574, 608460, 649698, 692288
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OFFSET
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1,1
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COMMENT
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If A=[A158385] 676*n.^2+2*n (n>0, 678, 2708, 6090,.,); Y=[A010865] 26 (26, 26, 26, ,.,); X=[A158386] 676*n+1 (n>0, 677, 1353, 2029, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 677^2-678*26^2=1; 1353^2-2708*26^2=1; 2029^2-6090*26^2=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)=676*n^2+2*n (n>0)
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EXAMPLE
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For n=1, a(1)=678; n=2, a(2)=2708; n=3, a(3)=6090
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CROSSREFS
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Cf. A010865, A158386
Sequence in context: A144381 A097773 A031524 this_sequence A097771 A121105 A046514
Adjacent sequences: A158382 A158383 A158384 this_sequence A158386 A158387 A158388
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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 17 2009
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