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Search: id:A156719
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| 28, 45, 350, 943, 1824, 2993, 4450, 6195, 8228, 10549, 13158, 16055, 19240, 22713, 26474, 30523, 34860, 39485, 44398, 49599, 55088, 60865, 66930, 73283, 79924, 86853, 94070, 101575, 109368, 117449, 125818, 134475, 143420, 152653
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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=[A156711] 144*n^2+127*n+28 (28,299,858,..,], or A=[A156719] 144*n^2-127*n+28 (28,45,350,...,), or A=[A156635] 144*n^2-n (143,574,1293), or A=[A031702] (145,578,1299,..., except the term 97994); Y=[A010863] (24,24,24,...,); X=[A156702] (127,161,287,..,) then we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 127^2-28*24^2=1; 161^2-45*24^2=1; 287^2-143*24^2=1; 289^2-145*24^2=1; 415^2-299*24^2=1 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 21 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 21 2009]
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EXAMPLE
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For n=0, a(0)=28; n=1 a(1)=45; n=2, a(2)=350, n=3, a(3)=943
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CROSSREFS
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Cf. A156711
Cf. A156635, A031702, A156702, A010863 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 21 2009]
Sequence in context: A075875 A116541 A116565 this_sequence A039615 A046419 A063770
Adjacent sequences: A156716 A156717 A156718 this_sequence A156720 A156721 A156722
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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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