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Search: id:A157416
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| A157416 |
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a(n)=6561*n^2-5390*n+1107 (n>0) |
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+0
3
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| 2278, 16571, 43986, 84523, 138182, 204963, 284866, 377891, 484038, 603307, 735698, 881211, 1039846, 1211603, 1396482, 1594483, 1805606, 2029851, 2267218, 2517707, 2781318, 3058051, 3347906, 3650883, 3966982, 4296203, 4638546
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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)=6561*n^2-5390*n+1107 (n>0)
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EXAMPLE
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For n=1 a(n)=2278; n=2, a(2)=16571; n=3, a(3)=43986
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CROSSREFS
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Cf. A157417, A157418
Sequence in context: A125253 A059466 A166222 this_sequence A020404 A023323 A163513
Adjacent sequences: A157413 A157414 A157415 this_sequence A157417 A157418 A157419
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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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