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Search: id:A157432
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| 648, 712, 776, 840, 904, 968, 1032, 1096, 1160, 1224, 1288, 1352, 1416, 1480, 1544, 1608, 1672, 1736, 1800, 1864, 1928, 1992, 2056, 2120, 2184, 2248, 2312, 2376, 2440, 2504, 2568, 2632, 2696, 2760, 2824, 2888, 2952, 3016, 3080, 3144, 3208, 3272, 3336
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OFFSET
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1,1
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COMMENT
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If A=[A157431] 4*n.^2+73*n +333 (410,495,588,689,.,); Y=[A157432] 64*n+584 (648,712, 776,840,..,); X=[A157433] 128*n^2+2336*n+10657 (13121,15841,18817,22049,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 13121^2-410*648^2=1; 15841^2-495*712^2=1; 18817^2-588*776^2=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+584 (n>0)
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EXAMPLE
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For n=1, a(1)=648; n=2 a(2)=712; n=3, a(3)=776
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CROSSREFS
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Cf. A157431, A157433
Sequence in context: A035885 A114827 A034281 this_sequence A171606 A006914 A165611
Adjacent sequences: A157429 A157430 A157431 this_sequence A157433 A157434 A157435
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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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