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Search: id:A158220
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| 171, 680, 1527, 2712, 4235, 6096, 8295, 10832, 13707, 16920, 20471, 24360, 28587, 33152, 38055, 43296, 48875, 54792, 61047, 67640, 74571, 81840, 89447, 97392, 105675, 114296, 123255, 132552, 142187, 152160, 162471, 173120, 184107, 195432
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OFFSET
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1,1
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COMMENT
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If A=[A158220] 169*n.^2+2*n (n>0g 171, 680, 1527, , ,.,); Y=[A010852] 13 (13, 13, 13,.,); X=[A158221] 169*n+1 (n>0, 170, 339, 508, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 170^2-171*13^2=1; 339^2-680*13^2=1; 508^2-1527*13^2=1.
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LINKS
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Wolfram MathWorld, Pell Equation
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=169*n^2+2*n (n>0)
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EXAMPLE
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For n=1, a(1)=171; n=2, a(2)=680; n=3, a(3)=1527
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CROSSREFS
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Cf. A010852, A158221
Sequence in context: A016057 A043407 A031691 this_sequence A079654 A036518 A016058
Adjacent sequences: A158217 A158218 A158219 this_sequence A158221 A158222 A158223
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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 14 2009
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