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Search: id:A157326
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| A157326 |
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a(n)=10368*n^2+288*n+1 (n>0) |
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+0
3
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| 10657, 42049, 94177, 167041, 260641, 374977, 510049, 665857, 842401, 1039681, 1257697, 1496449, 1755937, 2036161, 2337121, 2658817, 3001249, 3364417, 3748321, 4152961, 4578337, 5024449, 5491297, 5978881, 6487201, 7016257
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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)=10368*n^2+288*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=10657 n=2, a(2)=42049; n=3, a(3)=94177
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CROSSREFS
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Cf. A157324, A157325
Sequence in context: A013904 A138254 A154510 this_sequence A006006 A151411 A023941
Adjacent sequences: A157323 A157324 A157325 this_sequence A157327 A157328 A157329
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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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