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Search: id:A157734
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| A157734 |
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a(n)=441*n^2-394*n+88 (n>0) |
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+0
3
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| 135, 1064, 2875, 5568, 9143, 13600, 18939, 25160, 32263, 40248, 49115, 58864, 69495, 81008, 93403, 106680, 120839, 135880, 151803, 168608, 186295, 204864, 224315, 244648, 265863, 287960, 310939, 334800, 359543, 385168, 411675, 439064
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OFFSET
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1,1
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COMMENT
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If A=[A157734] 441*n.^2-394*n+88 (135,1064,2875,..,); Y=[A157735] 18522*n- 8274 (10248, 28770, 47292..,); X=[A157736] 388962*n^2-347508*n + 77617 (119071, 938449, 2535751,..,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 119071^2-135 *10248^2=1; 938449^2-1064*28770^2=1; 2535751^2-2875*47292^2=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)=441*n^2-394*n+88 (n>0)
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EXAMPLE
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For n=1, a(1)=135; n=2, a(2)=1064; n=3, a(3)=2875
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CROSSREFS
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Cf. A157735, A157736
Sequence in context: A096593 A050215 A159201 this_sequence A061073 A004005 A143404
Adjacent sequences: A157731 A157732 A157733 this_sequence A157735 A157736 A157737
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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 05 2009
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