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Search: id:A157663
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| 8040, 16040, 24040, 32040, 40040, 48040, 56040, 64040, 72040, 80040, 88040, 96040, 104040, 112040, 120040, 128040, 136040, 144040, 152040, 160040, 168040, 176040, 184040, 192040, 200040, 208040, 216040, 224040, 232040, 240040, 248040, 256040
(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=[A055438] 100*n.^2+n (101, 402, 903, ,..,); Y=[A157663] 8000*n+40 (8040, 16040, 24040,..,); X=[A157664] 80000*n^2+800*n+1 (80801, 321601, 722401,..,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 80801^2-101*8040^2=1; 321601^2-402*16040^2=1; 722401^2-903*24040^2=1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
Philippe Chevanne, Pell Equation
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FORMULA
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a(n)=8000*n+40 (n>0)
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EXAMPLE
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For n=1, a(1)=8040; n=2, a(2)=16040; n=3, a(3)=24040
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CROSSREFS
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Cf. A055438, A157664
Sequence in context: A013813 A013896 A140929 this_sequence A109486 A032780 A159224
Adjacent sequences: A157660 A157661 A157662 this_sequence A157664 A157665 A157666
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tinit), Mar 04 2009
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