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Search: id:A157336
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| 72, 136, 200, 264, 328, 392, 456, 520, 584, 648, 712, 776, 840, 904, 968, 1032, 1096, 1160, 1224, 1288, 1352, 1416, 1480, 1544, 1608, 1672, 1736, 1800, 1928, 1992, 2056, 2120, 2184, 2248, 2312, 2376, 2440, 2504, 2568, 2632, 2696, 2760, 2824, 2888
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If A=[A007742] n(4n+1) (for n>0, 5,18,39,68,...,); Y=[A157336] 64*n+8 (72,136,200,...,); X=[A157337] 128*n^2+32*n+1 (161,577,1249,...,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 161^2-5*72^2=1; 577^2-18*136^2=1; 1249^2-39*200^2=1; 2177^2-68*264^2=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)=72; n=2, a(2)=136; n=3, a(3)=200
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CROSSREFS
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Cf. A007742, A157337
Sequence in context: A078667 A090784 A143741 this_sequence A060661 A050495 A137883
Adjacent sequences: A157333 A157334 A157335 this_sequence A157337 A157338 A157339
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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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