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Search: id:A156813
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| 224, 898, 2022, 3596, 5620, 8094, 11018, 14392, 18216, 22490, 27214, 32388, 38012, 44086, 50610, 57584, 65008, 72882, 81206, 89980, 99204, 108878, 119002, 129576, 140600, 152074, 163998, 176372, 189196, 202470, 216194, 230368, 244992, 260066
(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=[A156810] (70,44,468,1342,..,], or A=[A156812](44,70,546,1472,...,), or A=[A156813] (224,898,2022,..,), or A=[A156814] (226,902,2028,3604,..); Y=[A010869] (30,30,30,...,) and X=[A156840] (199,251,449,451,..), then we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 199^2-44*30^2=1; 251^2-70*30^2=1; 449^2-224*30^2=1; 451^2-226*30^2=1; 649^2-468*30^2=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)=224; n=2, a(2)=898; n=3, a(3)=2022;
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CROSSREFS
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Cf. A156814
Cf. A156810, A156812, A156814, A156840, A010869 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 20 2009]
Sequence in context: A094209 A158227 A061524 this_sequence A146745 A015048 A032802
Adjacent sequences: A156810 A156811 A156812 this_sequence A156814 A156815 A156816
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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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