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Search: id:A157854
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| A157854 |
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a(n)=1728000*n-384240 (n>0) |
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+0
3
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| 1343760, 3071760, 4799760, 6527760, 8255760, 9983760, 11711760, 13439760, 15167760, 16895760, 18623760, 20351760, 22079760, 23807760, 25535760, 27263760, 28991760, 30719760, 32447760, 34175760, 35903760, 37631760
(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=[A157853] 3600*n.^2-1601*n +178 (2177, 11376, 27775,.,); Y=[A157854] 1728000*n - 384240 (1343760, 3071760..,); X=[A157855] 103680000*n^2-46108800*n +5126401 (62697601, 327628801,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 62697601^2-2177 *1343760^2=1; 327628801^2-11376*3071760^2=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)=1728000*n-384240 (n>0)
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EXAMPLE
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For n=1, a(1)=1343760; n=2, a(2)=3071760; n=3, a(3)=4799760
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CROSSREFS
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Cf, A157853, A157855
Sequence in context: A141592 A116495 A023047 this_sequence A120609 A094914 A138027
Adjacent sequences: A157851 A157852 A157853 this_sequence A157855 A157856 A157857
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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 08 2009
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