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Search: id:A157921
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| 71, 143, 215, 287, 359, 431, 503, 575, 647, 719, 791, 863, 935, 1007, 1079, 1151, 1223, 1295, 1367, 1439, 1511, 1583, 1655, 1727, 1799, 1871, 1943, 2015, 2087, 2159, 2231, 2303, 2375, 2447, 2519, 2591, 2663, 2735, 2807, 2879, 2951, 3023, 3095, 3167, 3239
(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=[A157286] 36*n.^2-n (35, 142, 321,.,); Y=[A010851] 12 (12,12, 12, 12, ,.,); X=[A157921] 72*n- 1 (71, 143, 215.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 71^2-35 *12\^2=1; 143^2-142*12^2=1; 215^2-321*12^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Philippe Chevanne, Pell Equation
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FORMULA
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a(n)=72*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=71; n=2, a(2)=143 n=3, a(3)=215
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CROSSREFS
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Cf. A157286, A01085
Sequence in context: A111092 A140732 A025023 this_sequence A033224 A142178 A046004
Adjacent sequences: A157918 A157919 A157920 this_sequence A157922 A157923 A157924
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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 09 2009
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