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Search: id:A158409
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| 899, 1799, 2699, 3599, 4499, 5399, 6299, 7199, 8099, 8999, 9899, 10799, 11699, 12599, 13499, 14399, 15299, 16199, 17099, 17999, 18899, 19799, 20699, 21599, 22499, 23399, 24299, 25199, 26099, 26999, 27899, 28799, 29699, 30599, 31499
(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=[A158408] 900*n.^2-2*n (n>0, 898, 3596, 8094,.,); Y=[A010869] 30 (30, 30, 30, ,.,); X=[A158409] 900*n-1 (n>0, 899, 1799, 2699, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 899^2-898*30^2=1; 1799^2-3596*30^2=1; 2699^2-8094*30^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=900*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=899; n=2, a(2)=1799; n=3, a(3)=2699
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CROSSREFS
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Cf. A010869, A158408
Sequence in context: A063167 A145498 A158408 this_sequence A061044 A127658 A137490
Adjacent sequences: A158406 A158407 A158408 this_sequence A158410 A158411 A158412
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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 18 2009
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