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Search: id:A156796
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| 59, 140, 221, 302, 383, 464, 545, 626, 707, 788, 869, 950, 1031, 1112, 1193, 1274, 1355, 1436, 1517, 1598, 1679, 1760, 1841, 1922, 2003, 2084, 2165, 2246, 2327, 2408, 2489, 2570, 2651, 2732, 2813, 2894, 2975, 3056, 3137, 3218, 3299, 3380, 3461, 3542
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OFFSET
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1,1
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COMMENT
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Arises in solving Pell equations of the form X^2 - A*Y^2 = 1.
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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For n=1, a(1)=59; n=2, a(2)=140; n=3, a(3)=221;
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CROSSREFS
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Cf. A156795, A156797
Sequence in context: A129480 A044310 A044691 this_sequence A106756 A102168 A142319
Adjacent sequences: A156793 A156794 A156795 this_sequence A156797 A156798 A156799
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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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EXTENSIONS
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Corrected by Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009
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