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Search: id:A157364
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| A157364 |
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a(n)=4802*n^2-196*n+1 (n>0) |
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+0
3
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| 4607, 18817, 42631, 76049, 119071, 171697, 233927, 305761, 387199, 478241, 578887, 689137, 808991, 938449, 1077511, 1226177, 1384447, 1552321, 1729799, 1916881, 2113567, 2319857, 2535751, 2761249, 2996351, 3241057, 3495367
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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)=4802*n^2-196*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=4607; n=2, a(2)=18817; n=3, a(3)=42631
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CROSSREFS
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Cf. A157362, A157363
Sequence in context: A004537 A032745 A020437 this_sequence A078094 A159205 A035785
Adjacent sequences: A157361 A157362 A157363 this_sequence A157365 A157366 A157367
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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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