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Search: id:A158064
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| 38, 148, 330, 584, 910, 1308, 1778, 2320, 2934, 3620, 4378, 5208, 6110, 7084, 8130, 9248, 10438, 11700, 13034, 14440, 15918, 17468, 19090, 20784, 22550, 24388, 26298, 28280, 30334, 32460, 34658, 36928, 39270, 41684, 44170, 46728, 49358, 52060
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OFFSET
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1,1
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COMMENT
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If A=[A158064] 36*n.^2+2*n (n>0, 38, 148, 330,., ,.,); Y=[A010722] 6 (6, 6, 6,..,); X=[A158065] 36*n+1 (n>0, 37, 73, 109, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 37^2-38*6^2=1; 73^2-148*6^2=1; 109^2-330*6^2=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)=36*n^2+2*n (n>0)
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EXAMPLE
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For n=1, a(1)=38; n=2, a(2)=148; n=3, a(3)=330
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CROSSREFS
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Cf. A010722, A158065
Sequence in context: A044370 A044751 A164093 this_sequence A135176 A100167 A100168
Adjacent sequences: A158061 A158062 A158063 this_sequence A158065 A158066 A158067
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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 12 2009
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