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Search: id:A158222
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| 198, 788, 1770, 3144, 4910, 7068, 9618, 12560, 15894, 19620, 23738, 28248, 33150, 38444, 44130, 50208, 56678, 63540, 70794, 78440, 86478, 94908, 103730, 112944, 122550, 132548, 142938, 153720, 164894, 176460, 188418, 200768, 213510, 226644
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OFFSET
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1,1
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COMMENT
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If A=[A158222] 196*n.^2+2*n (n>0g 198, 788, 1770, , ,.,); Y=[A010853] 14 (14, 14, 14,.,); X=[A158223] 196*n+1 (n>0, 197, 393, 589, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 197^2-198*14^2=1; 393^2-788*14^2=1; 589^2-1770*14^2=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)=196*n^2+2*n (n>0)
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EXAMPLE
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For n=1, a(1)=198; n=2, a(2)=788; n=3, a(3)=1770
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CROSSREFS
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Cf. A010853, A158223
Sequence in context: A075293 A083264 A066218 this_sequence A156771 A065697 A159204
Adjacent sequences: A158219 A158220 A158221 this_sequence A158223 A158224 A158225
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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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