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Search: id:A157417
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| A157417 |
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a(n)=531441*n-218295 (n>0) |
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+0
3
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| 313146, 844587, 1376028, 1907469, 2438910, 2970351, 3501792, 4033233, 4564674, 5096115, 5627556, 6158997, 6690438, 7221879, 7753320, 8284761, 8816202, 9347643, 9879084, 10410525, 10941966, 11473407, 12004848, 12536289, 13067730
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OFFSET
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1,1
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COMMENT
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If A=[A157416] 6561*n.^2-5390*n +1107 (2278,16571,43986,.,); Y=[A157417] 531441*n-218295 (313146,844587,..,); X=[A157418] 43046721*n^2-35363790*n+7263026 (14945957, 108722330,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 14945957^2-2278*313146^2=1; 108722330^2-16571*844587^2=1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=531441*n-218295 (n>0)
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EXAMPLE
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For n=1, a(1)=313146; n=2, a(2)=44587; n=3, a(3)=1376028.
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CROSSREFS
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Cf. A157416, A157418
Sequence in context: A053849 A116888 A102499 this_sequence A104826 A092014 A153749
Adjacent sequences: A157414 A157415 A157416 this_sequence A157418 A157419 A157420
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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), Feb 28 2009
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