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Search: id:A157377
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| A157377 |
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a(n)=531441*n-313146 (n>0) |
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+0
3
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| 218295, 749736, 1281177, 1812618, 2344059, 2875500, 3406941, 3938382, 4469823, 5001264, 5532705, 6064146, 6595587, 7127028, 7658469, 8189910, 8721351, 9252792, 9784233, 10315674, 10847115, 11378556, 11909997, 12441438, 12972879
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If A=[A157376] 6561*n.^2-7732*n +2278 (1107,13058,38131,..,); Y=[A157377] 531441*n-313146 (218295, 749736,..,); X=[A157378] 43046721*n^2-50729652*n+14945959 (7263028, 85673539,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 7263028^2-1107*218295^2=1; 85673539^2-13058*749736^2=1; 250177492^2-38131*1281177^2=1.
If A=[A157376] 6561*n.^2-7732*n +2278 (1107,13058,38131,..,); Y=[A157377] 531441*n-313146 (218295, 749736,..,); X=[A157378] 43046721*n^2-50729652*n +14945957 (7263026, 85673537,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 7263026^2-1107*218295^2=1; 85673537^2-13058*749736^2=1; 250177490^2-38131*1281177^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 02 2009]
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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)=531441*n-313146 (n>0)
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EXAMPLE
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For n=1, a(1)=218295; n=2, a(2)=749736; n=3, a(3)=1281177
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CROSSREFS
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Cf. A157376, A157378
Sequence in context: A077640 A078520 A019291 this_sequence A090873 A072189 A046396
Adjacent sequences: A157374 A157375 A157376 this_sequence A157378 A157379 A157380
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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 28 2009
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