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Search: id:A156772
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| 531, 1260, 1989, 2718, 3447, 4176, 4905, 5634, 6363, 7092, 7821, 8550, 9279, 10008, 10737, 11466, 12195, 12924, 13653, 14382, 15111, 15840, 16569, 17298, 18027, 18756, 19485, 20214, 20943, 21672, 22401, 23130, 23859, 24588, 25317, 26046
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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)=531; n=2, a(2)=1260; n=3, a(3)=1989
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CROSSREFS
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Cf. A156771
Cf. A156676, A156677, A156773, A156774 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 20 2009]
Sequence in context: A098259 A031967 A031521 this_sequence A031701 A158367 A098257
Adjacent sequences: A156769 A156770 A156771 this_sequence A156773 A156774 A156775
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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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