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Search: id:A157990
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| 289, 577, 865, 1153, 1441, 1729, 2017, 2305, 2593, 2881, 3169, 3457, 3745, 4033, 4321, 4609, 4897, 5185, 5473, 5761, 6049, 6337, 6625, 6913, 7201, 7489, 7777, 8065, 8353, 8641, 8929, 9217, 9505, 9793, 10081, 10369, 10657, 10945, 11233, 11521
(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=[A031702] 144*n.^2+n (145, 578, 1299,. ,.,); Y=[A010863] 24 (24, 24, 24,..,); X=[A157990] 288*n+11 (289, 577, 865, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 289^2-145 *24^2=1; 577^2-578*24^2=1; 865^2-1299*24^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=288*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=289; n=2, a(2)=577; n=3, a(3)=865
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CROSSREFS
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Cf. A031702, A010863
Sequence in context: A008367 A152852 A156572 this_sequence A112077 A152934 A156575
Adjacent sequences: A157987 A157988 A157989 this_sequence A157991 A157992 A157993
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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 10 2009
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