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Search: id:A156795
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| 22, 103, 184, 265, 346, 427, 508, 589, 670, 751, 832, 913, 994, 1075, 1156, 1237, 1318, 1399, 1480, 1561, 1642, 1723, 1804, 1885, 1966, 2047, 2128, 2209, 2290, 2371, 2452, 2533, 2614, 2695, 2776, 2857, 2938, 3019, 3100, 3181, 3262, 3343, 3424, 3505, 3586
(list; graph; listen)
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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)=22; n=2, a(2)=103; n=3, a(3)=184
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CROSSREFS
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Cf. A156796, A156797
Sequence in context: A060382 A044273 A044654 this_sequence A095265 A066450 A124950
Adjacent sequences: A156792 A156793 A156794 this_sequence A156796 A156797 A156798
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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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