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Search: id:A158224
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| 194, 780, 1758, 3128, 4890, 7044, 9590, 12528, 15858, 19580, 23694, 28200, 33098, 38388, 44070, 50144, 56610, 63468, 70718, 78360, 86394, 94820, 103638, 112848, 122450, 132444, 142830, 153608, 164778, 176340, 188294, 200640, 213378, 226508
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OFFSET
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1,1
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COMMENT
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If A=[A158224] 196*n.^2-2*n (n>0g 194, 780, 1758, , ,.,); Y=[A010853] 14 (14, 14, 14,.,); X=[A158225] 196*n-1 (n>0, 195, 391, 587, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 195^2-194*14^2=1; 391^2-780*14^2=1; 587^2-1758*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)=194; n=2, a(2)=780; n=3, a(3)=1758
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CROSSREFS
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Cf. A010853, A158225
Sequence in context: A023743 A025333 A025325 this_sequence A045073 A154938 A080394
Adjacent sequences: A158221 A158222 A158223 this_sequence A158225 A158226 A158227
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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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