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Search: id:A157435
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| 696, 760, 824, 888, 952, 1016, 1080, 1144, 1208, 1272, 1336, 1400, 1464, 1528, 1592, 1656, 1720, 1784, 1848, 1912, 1976, 2040, 2104, 2168, 2232, 2296, 2360, 2424, 2488, 2552, 2616, 2680, 2744, 2808, 2872, 2936, 3000, 3064, 3128, 3192, 3256, 3320, 3384
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OFFSET
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1,1
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COMMENT
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If A=[A157434] 4*n.^2+79*n +390 (473,564,663,770,.,); Y=[A157435] 64*n+632 (696, 760, 824,888,..,); X=[A157433] 128*n^2+2528*n+12481 (15137,18049,21217,24641,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 15137^2-473*696^2=1; 18049^2-564*760^2=1; 21217^2-663*824^2=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)=64*n+632 (n>0)
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EXAMPLE
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For n=1, a(1)=696; n=2, a(2)=760; n=3, a(3)=824
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CROSSREFS
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Cf. A157434, A157436
Sequence in context: A004242 A115493 A048925 this_sequence A048426 A163008 A069330
Adjacent sequences: A157432 A157433 A157434 this_sequence A157436 A157437 A157438
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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), Mar 01 2009
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