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Search: id:A157267
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| A157267 |
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a(n)=10368*n^2-4896*n+577 (n>0) |
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+0
3
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| 6049, 32257, 79201, 146881, 235297, 344449, 474337, 624961, 796321, 988417, 1201249, 1434817, 1689121, 1964161, 2259937, 2576449, 2913697, 3271681, 3650401, 4049857, 4470049, 4910977, 5372641, 5855041, 6358177, 6882049
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OFFSET
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1,1
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COMMENT
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If A=[A157265] 36*n^2-17*n+2 (21,112,275,...,); Y=[A157266] 1728*n-408 (1320,3048,4776...,); X=[A157266] 10368*n^2-4896*n+577 (6049,32257,79201,...,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 6049^2-21*1320^2=1; 32257^2-112*3048^2=1; 79201^2-275*4776^2=1; 146881^2-510*6504^2=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)=10368*n^2-4896*n+577 (n>0)
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EXAMPLE
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For n=1, a(1)=6049; n=2, a(2)=32257; n=3, a(3)=79201
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CROSSREFS
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Cf. A157265, A157266
Sequence in context: A031821 A064248 A157652 this_sequence A084804 A025515 A031666
Adjacent sequences: A157264 A157265 A157266 this_sequence A157268 A157269 A157270
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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 26 2009
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