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Search: id:A158066
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| 50, 99, 148, 197, 246, 295, 344, 393, 442, 491, 540, 589, 638, 687, 736, 785, 834, 883, 932, 981, 1030, 1079, 1128, 1177, 1226, 1275, 1324, 1373, 1422, 1471, 1520, 1569, 1618, 1667, 1716, 1765, 1814, 1863, 1912, 1961, 2010, 2059, 2108, 2157, 2206
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If A=[A157365] 49*n.^2+2*n (n>0, 51, 200, 447,.,. ,.,); Y=[A010727] 7 (7,7,7,.,.,); X=[A158066] 49*n+1 (n>0, 50, 99, 148, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 50^2-51*7^2=1; 99^2-200*7^2=1; 148^2-447*7^2=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)=49*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=50; n=2, a(2)=99; n=3, a(3)=148
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CROSSREFS
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Cf. A010727, A157365
Sequence in context: A141757 A044139 A044520 this_sequence A043220 A039397 A044000
Adjacent sequences: A158063 A158064 A158065 this_sequence A158067 A158068 A158069
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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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