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Search: id:A157325
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| 1752, 3480, 5208, 6936, 8664, 10392, 12120, 13848, 15576, 17304, 19032, 20760, 22488, 24216, 25944, 27672, 29400, 31128, 32856, 34584, 36312, 38040, 39768, 41496, 43224, 44952, 46680, 48408, 50136, 51864, 53592, 55320, 57048, 58776
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OFFSET
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1,1
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COMMENT
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If A=[A157324] 36*n^2+n (37,146,327,...,); Y=[A157325] 1728*n+24 (1752,3480,5208,...,); X=[A157326] 10368*n^2+288*n+1 (10657,42049,94177,...,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 10657^2-37*1752^2=1; 42049^2-146*3480^2=1; 94177^2-327*5208^2=1; 167041^2-580*6936^2=1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=1728*n+24 (n>0)
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EXAMPLE
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For n=1, a(1)=1752; n=2, a(2)=348; n=3, a(3)=5208
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CROSSREFS
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Cf. A157324, A157326
Sequence in context: A107525 A090837 A038010 this_sequence A102327 A076809 A043436
Adjacent sequences: A157322 A157323 A157324 this_sequence A157326 A157327 A157328
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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 27 2009
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