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Search: id:A157735
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| A157735 |
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a(n)=18522*n-8274 (n>0) |
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+0
3
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| 10248, 28770, 47292, 65814, 84336, 102858, 121380, 139902, 158424, 176946, 195468, 213990, 232512, 251034, 269556, 288078, 306600, 325122, 343644, 362166, 380688, 399210, 417732, 436254, 454776, 473298, 491820, 510342, 528864, 547386
(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=[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
Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=18522*n-8274 (n>0)
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EXAMPLE
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For n=1, a(1)=10248; n=2, a(2)=28770; n=3, a(3)=47292
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CROSSREFS
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Cf. A157734, A157736
Sequence in context: A074671 A156119 A109176 this_sequence A154089 A100502 A099746
Adjacent sequences: A157732 A157733 A157734 this_sequence A157736 A157737 A157738
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tn.it), Mar 05 2009
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