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Search: id:A157954
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| 161, 323, 485, 647, 809, 971, 1133, 1295, 1457, 1619, 1781, 1943, 2105, 2267, 2429, 2591, 2753, 2915, 3077, 3239, 3401, 3563, 3725, 3887, 4049, 4211, 4373, 4535, 4697, 4859, 5021, 5183, 5345, 5507, 5669, 5831, 5993, 6155, 6317, 6479, 6641, 6803, 6965
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OFFSET
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1,1
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COMMENT
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If A=[A157953] 81*n.^2-n (80, 322, 726, ,.,); Y=[A010857] 18 (18, 18, 18, ,.,); X=[A157954] 162*n-1 (161, 323, 485, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 161^2-80 *18^2=1; 323^2-322*18^2=1; 485^2-726*18^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=162*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=161; n=2, a(2)=323; n=3, a(3)=485
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CROSSREFS
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Cf. A157953, A010857
Sequence in context: A025350 A025342 A060641 this_sequence A159545 A157337 A135699
Adjacent sequences: A157951 A157952 A157953 this_sequence A157955 A157956 A157957
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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 10 2009
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