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Search: id:A157999
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| 337, 675, 1013, 1351, 1689, 2027, 2365, 2703, 3041, 3379, 3717, 4055, 4393, 4731, 5069, 5407, 5745, 6083, 6421, 6759, 7097, 7435, 7773, 8111, 8449, 8787, 9125, 9463, 9801, 10139, 10477, 10815, 11153, 11491, 11829, 12167, 12505, 12843, 13181, 13519
(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=[A157998] 169*n.^2-n (168, 674, 1518,. ,.,); Y=[A010865] 26 (26, 26, 26,..,); X=[A157999] 338*n-1 (337, 675, 1013, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 337^2-168 *26^2=1; 675^2-674*26^2=1; 1013^2-1518*26^2=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)=338*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=337; n=2, a(2)=675; n=3, a(3)=1013
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CROSSREFS
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Cf. A157998, A010865
Sequence in context: A153164 A020358 A051962 this_sequence A152853 A142830 A160069
Adjacent sequences: A157996 A157997 A157998 this_sequence A158000 A158001 A158002
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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 11 2009
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