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Search: id:A157433
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| A157433 |
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a(n)=128*n^2+2336*n+10657 (n>0) |
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+0
6
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| 13121, 15841, 18817, 22049, 25537, 29281, 33281, 37537, 42049, 46817, 51841, 57121, 62657, 68449, 74497, 80801, 87361, 94177, 101249, 108577, 116161, 124001, 132097, 140449, 149057, 157921, 167041, 176417, 186049, 195937, 206081, 216481
(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=[A157431] 4*n.^2+73*n +333 (410,495,588,689,.,); Y=[A157432] 64*n+584 (648,712, 776,840,..,); X=[A157433] 128*n^2+2336*n+10657 (13121,15841,18817,22049,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 13121^2-410*648^2=1; 15841^2-495*712^2=1; 18817^2-588*776^2=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)=128*n^2+2336*n+10657 (n>0)
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EXAMPLE
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For n=1, a(1)=13121; n=2, a(2)=15841; n=3, a(3)=18817.
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CROSSREFS
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Cf. A157431, A157432
Sequence in context: A165679 A111887 A015341 this_sequence A089212 A023320 A068760
Adjacent sequences: A157430 A157431 A157432 this_sequence A157434 A157435 A157436
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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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