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Search: id:A157363
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| 672, 1358, 2044, 2730, 3416, 4102, 4788, 5474, 6160, 6846, 7532, 8218, 8904, 9590, 10276, 10962, 11648, 12334, 13020, 13706, 14392, 15078, 15764, 16450, 17136, 17822, 18508, 19194, 19880, 20566, 21252, 21938, 22624, 23310, 23996, 24682
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OFFSET
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1,1
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COMMENT
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If A=[A157362] 49*n.^2-2*n (47,192,435,776,...,); Y=[A157363] 686*n-14 (672, 1358, 2044, 2730,...,); X=[A157364] 4802*n^2-196*n+1 (4607,18817,42631,76049,...,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 4607^2-47*672^2=1; 18817^2-192*1358^2=1; 42631^2-435*2044^2=1; 76049^2-776*2730^2=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)=686*n-14 (n>0)
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EXAMPLE
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For n=1, a(1)=672; n=2, a(2)=1358; n=3, a(3)=2044
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CROSSREFS
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Cf. A157362, A157364
Sequence in context: A067875 A053085 A057695 this_sequence A057805 A057796 A057797
Adjacent sequences: A157360 A157361 A157362 this_sequence A157364 A157365 A157366
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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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