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Search: id:A157797
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| A157797 |
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a(n)=8984250*n-1996170 (n>0) |
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+0
3
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| 6988080, 15972330, 24956580, 33940830, 42925080, 51909330, 60893580, 69877830, 78862080, 87846330, 96830580, 105814830, 114799080, 123783330, 132767580, 141751830, 150736080, 159720330, 168704580, 177688830, 186673080, 195657330
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OFFSET
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1,1
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COMMENT
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If A=[A157796] 27225*n.^2-12098*n +1344 (16471, 86048, 210075,.,); Y=[A157797] 8984250*n -1996170 (6988080, 15972330, 24956580,..,); X=[A157798] 1482401250*n^2-658736100*n +73180801 (896845951, 4685313601,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 896845951^2-16471 *6988080^2=1; 4685313601^2-86048*15972330^2=1.
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LINKS
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Philippe Chevanne, Pell Equation
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=8984250*n-1996170 (n>0)
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EXAMPLE
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For n=1, a(1)=6988080; n=2, a(2)=15972330; n=3, a(3)=24956580
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CROSSREFS
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Cf. A157796, A157798
Sequence in context: A116173 A088238 A079015 this_sequence A106786 A088286 A034636
Adjacent sequences: A157794 A157795 A157796 this_sequence A157798 A157799 A157800
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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 07 2009
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