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Search: id:A158306
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| 323, 647, 971, 1295, 1619, 1943, 2267, 2591, 2915, 3239, 3563, 3887, 4211, 4535, 4859, 5183, 5507, 5831, 6155, 6479, 6803, 7127, 7451, 7775, 8099, 8423, 8747, 9071, 9395, 9719, 10043, 10367, 10691, 11015, 11339, 11663, 11987, 12311, 12635, 12959
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OFFSET
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1,1
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COMMENT
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If A=[A158305] 324*n.^2-2*n (n>0, 322, 1292, 2910,.,); Y=[A010857] 18 (18, 18, 18, ,.,); X=[A158306] 324*n-1 (n>0, 323, 647, 971, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 323^2-322*18^2=1; 647^2-1292*18^2=1; 971^2-2910*18^2=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)=324*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=323; n=2, a(2)=647; n=3, a(3)=971
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CROSSREFS
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Cf. A010857, A158305
Sequence in context: A069107 A094412 A065822 this_sequence A083138 A121209 A065884
Adjacent sequences: A158303 A158304 A158305 this_sequence A158307 A158308 A158309
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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 16 2009
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