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Search: id:A156771
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| 198, 927, 1656, 2385, 3114, 3843, 4572, 5301, 6030, 6759, 7488, 8217, 8946, 9675, 10404, 11133, 11862, 12591, 13320, 14049, 14778, 15507, 16236, 16965, 17694, 18423, 19152, 19881, 20610, 21339, 22068, 22797, 23526, 24255, 24984, 25713
(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=[A15676] (6,43,242,603,..,], or A=[A156677] (43,6,131,418,...,); Y=[A156771] (198,927,1656,2385,...,) or Y=[A156772] (531,1260,1989,2718,...,) and X=[A156773] (3482,485,10610,33857,...,) or X= (485,3482,19601,48842,..), then we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 485^2-6*198^2=1; 3482^2-43*531^2=1; 10610^2-131*927^2=1; 19601^2-242*1260^2=1; 33857^2-418*1656^2=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)=198; n=2, a(2)=927; n=3, a(3)=1656
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CROSSREFS
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Cf. A156772
Cf. A156676, A156677, A156773, A156774 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 20 2009]
Sequence in context: A083264 A066218 A158222 this_sequence A065697 A159204 A075457
Adjacent sequences: A156768 A156769 A156770 this_sequence A156772 A156773 A156774
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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 15 2009
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