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Search: id:A156797
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| 22, 59, 103, 140, 184, 221, 265, 302, 346, 383, 427, 464, 508, 545, 589, 626, 670, 707, 751, 788, 832, 869, 913, 950, 994, 1031, 1075, 1112, 1156, 1193, 1237, 1274, 1318, 1355, 1399, 1436, 1480, 1517, 1561, 1598, 1642, 1679, 1723, 1760, 1804, 1841, 1885
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OFFSET
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1,1
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COMMENT
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If A=(n^2+2)/9^2; Y=9*n; X=n^2+1; we have the Pell's equation X^2-A*Y^2=1 Example: For n=22, A=6, X=485, Y=198, then 485^2-6*198^2=1; n=59, A=43, Y=531, X=3482, 3482^2-43*531^2=1; n=103, A=131, Y=927, X=10610, 10610^2-131*927^2=1; n=140, A=242, Y=1260, X=19601, 19601^2-242*1260^2=1; [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 20 2009]
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LINKS
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Vincenzo Librandi, X^2-AY^2=1 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 20 2009]
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EXAMPLE
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22^2+2=0 mod (81); 59^2+2=0 mod (81); 103^2+2=0 mod (81); 140^2+2=0 mod (81);
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CROSSREFS
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Cf. A156795, A156796
Sequence in context: A019506 A044124 A044505 this_sequence A051874 A140390 A069178
Adjacent sequences: A156794 A156795 A156796 this_sequence A156798 A156799 A156800
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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), Feb 16 2009
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