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Search: id:A158229
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| 226, 451, 676, 901, 1126, 1351, 1576, 1801, 2026, 2251, 2476, 2701, 2926, 3151, 3376, 3601, 3826, 4051, 4276, 4501, 4726, 4951, 5176, 5401, 5626, 5851, 6076, 6301, 6526, 6751, 6976, 7201, 7426, 7651, 7876, 8101, 8326, 8551, 8776, 9001, 9226, 9451, 9676
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OFFSET
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1,1
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COMMENT
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If A=[A158228] 225*n.^2+2*n (n>0g 227, 904, 2031, , ,.,); Y=[A010854] 15 (15, 15, 15,.,); X=[A158229] 225*n+1 (n>0, 226, 451, 676, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 226^2-227*15^2=1; 451^2-904*15^2=1; 676^2-2031*15^2=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)=225*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=226; n=2, a(2)=451; n=3, a(3)=676
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CROSSREFS
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Cf. A010854, A158228
Sequence in context: A043670 A126897 A067265 this_sequence A156814 A031708 A031603
Adjacent sequences: A158226 A158227 A158228 this_sequence A158230 A158231 A158232
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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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