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Search: id:A156635
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| 143, 574, 1293, 2300, 3595, 5178, 7049, 9208, 11655, 14390, 17413, 20724, 24323, 28210, 32385, 36848, 41599, 46638, 51965, 57580, 63483, 69674, 76153, 82920, 89975, 97318, 104949, 112868, 121075, 129570, 138353, 147424, 156783, 166430
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OFFSET
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1,1
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COMMENT
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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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MAPLE
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For n=1, a(1)=143; n=2, a(2)=574; n=3, a(3)=1293
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CROSSREFS
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Cf. A031702
Cf. A156719, A156711, A010863, A156702 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 21 2009]
Sequence in context: A126703 A111185 A074301 this_sequence A035304 A159054 A135946
Adjacent sequences: A156632 A156633 A156634 this_sequence A156636 A156637 A156638
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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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