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Search: id:A157330
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| 56, 120, 184, 248, 312, 376, 440, 504, 568, 632, 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
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OFFSET
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1,1
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COMMENT
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If A=[A033991] n(4n-1) (for n>0, 3,14,33,60,95,...,); Y=[A157330] 64*n-8 (56,120,184,...,); X=[A157331] 128*n^2-32*n+1 (97,449,1057,...,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 97^2-3*56^2=1; 449^2-14*120^2=1; 1057^2-33*184^2=1; 1921^2-60*248^2=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-8 (n>0)
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EXAMPLE
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For n=1, a(1)=56; n=2, a(2)=120; n=3, a(3)=184
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CROSSREFS
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Cf. A033991, A157331
Sequence in context: A047779 A044243 A044624 this_sequence A038849 A003781 A030443
Adjacent sequences: A157327 A157328 A157329 this_sequence A157331 A157332 A157333
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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 27 2009
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