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Search: id:A157324
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| 37, 146, 327, 580, 905, 1302, 1771, 2312, 2925, 3610, 4367, 5196, 6097, 7070, 8115, 9232, 10421, 11682, 13015, 14420, 15897, 17446, 19067, 20760, 22525, 24362, 26271, 28252, 30305, 32430, 34627, 36896, 39237, 41650, 44135, 46692, 49321, 52022
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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)=36*n^2+n (n>0)
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EXAMPLE
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For n=1, a(1)=37; n=2, a(2)=146; n=3, a(3)=327
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CROSSREFS
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Cf. A157325, A157326
Sequence in context: A142498 A158591 A031690 this_sequence A141968 A142656 A145898
Adjacent sequences: A157321 A157322 A157323 this_sequence A157325 A157326 A157327
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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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