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Search: id:A157476
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| A157476 |
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a(n)=2048*n^2+128*n+1 (n>0) |
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+0
3
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| 2177, 8449, 18817, 33281, 51841, 74497, 101249, 132097, 167041, 206081, 249217, 296449, 347777, 403201, 462721, 526337, 594049, 665857, 741761, 821761, 905857, 994049, 1086337, 1182721, 1283201, 1387777, 1496449, 1609217, 1726081, 1847041
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OFFSET
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1,1
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COMMENT
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If A=[A157474] 16*n.^2+n (17,66,147,260,.,); Y=[A157475] 512*n+16 (528,1040,1552,2064..,); X=[A157476] 2048*n^2+128*n+1 (2177,8449,18817,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 2177^2-17*528^2=1; 8449^2-66*1040^2=1; 18817^2-147*1552^2=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)=2048*n^2+128*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=2177; n=2, a(2)=8449; n=3, a(3)=18817
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CROSSREFS
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Cf. A157474, A157475
Sequence in context: A151771 A126844 A159712 this_sequence A157853 A072141 A008918
Adjacent sequences: A157473 A157474 A157475 this_sequence A157477 A157478 A157479
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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), Mar 01 2009
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