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Search: id:A158393
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| 675, 1351, 2027, 2703, 3379, 4055, 4731, 5407, 6083, 6759, 7435, 8111, 8787, 9463, 10139, 10815, 11491, 12167, 12843, 13519, 14195, 14871, 15547, 16223, 16899, 17575, 18251, 18927, 19603, 20279, 20955, 21631, 22307, 22983, 23659, 24335
(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=[A158392] 676*n.^2-2*n (n>0, 674, 2700, 6078,.,); Y=[A010865] 26 (26, 26, 26, ,.,); X=[A158393] 676*n-1 (n>0, 675, 1351, 2027, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 675^2-674*26^2=1; 1351^2-2700*26^2=1; 2027^2-6078*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)=676*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=675; n=2, a(2)=1351; n=3, a(3)=2027
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CROSSREFS
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Cf. A010865, A158392
Sequence in context: A160209 A158392 A124942 this_sequence A159208 A064963 A059745
Adjacent sequences: A158390 A158391 A158392 this_sequence A158394 A158395 A158396
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.lbrandi(AT)tin.it), Mar 18 2009
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