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Search: id:A157266
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| 1320, 3048, 4776, 6504, 8232, 9960, 11688, 13416, 15144, 16872, 18600, 20328, 22056, 23784, 25512, 27240, 28968, 30696, 32424, 34152, 35880, 37608, 39336, 41064, 42792, 44520, 46248, 47976, 49704, 51432, 53160, 54888, 56616, 58344
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OFFSET
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1,1
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COMMENT
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If A=[A157265] 36*n^2-17*n+2 (21,112,275,...,); Y=[A157266] 1728*n-408 (1320,3048,4776...,); X=[A157266] 10368*n^2-4896*n+577 (6049,32257,79201,...,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 6049^2-21*1320^2=1; 32257^2-112*3048^2=1; 79201^2-275*4776^2=1; 146881^2-510*6504^2=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-408 (n>0)
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EXAMPLE
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For n=1, a(1)=1320; n=2, a(2)=3048; n=3, a(3)=4776;
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CROSSREFS
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Cf. A157265, A157267
Sequence in context: A023318 A066663 A067206 this_sequence A069737 A161586 A013641
Adjacent sequences: A157263 A157264 A157265 this_sequence A157267 A157268 A157269
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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 26 2009
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