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Search: id:A157923
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| 48, 194, 438, 780, 1220, 1758, 2394, 3128, 3960, 4890, 5918, 7044, 8268, 9590, 11010, 12528, 14144, 15858, 17670, 19580, 21588, 23694, 25898, 28200, 30600, 33098, 35694, 38388, 41180, 44070, 47058, 50144, 53328, 56610, 59990, 63468, 67044
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OFFSET
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1,1
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COMMENT
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If A=[A157923] 49*n.^2-n (48, 194, 438,.,); Y=[A010853] 14 (14, 14, 14, 14, ,.,); X=[A157924] 98*n- 1 (97, 195, 293.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 97^2-48 *14^2=1; 195^2-194*14^2=1; 293^2-438*14^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Philippe Chevanne, Pell Equation
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FORMULA
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a(n)=49*n^2-n (n>0)
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EXAMPLE
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For n=1, a(1)=48; n=2, a(2)=194; n=3, a(3)=438
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CROSSREFS
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Cf. A010853, A157924
Sequence in context: A066134 A005911 A130566 this_sequence A072254 A062248 A100146
Adjacent sequences: A157920 A157921 A157922 this_sequence A157924 A157925 A157926
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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 09 2009
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