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Search: id:A157337
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| A157337 |
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a(n)=128*n^2+32*n+1 (n>0) |
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+0
3
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| 161, 577, 1249, 2177, 3361, 4801, 6497, 8449, 10657, 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
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OFFSET
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1,1
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COMMENT
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If A=[A007742] n(4n+1) (for n>0, 5,18,39,68,...,); Y=[A157336] 64*n+8 (72,136,200,...,); X=[A157337] 128*n^2+32*n+1 (161,577,1249,...,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 161^2-5*72^2=1; 577^2-18*136^2=1; 1249^2-39*200^2=1; 2177^2-68*264^2=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+32*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=161; n=2, a(2)=577; n=3, a(3)=1249;
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CROSSREFS
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Cf. A007742, A157336
Sequence in context: A060641 A157954 A159545 this_sequence A135699 A092312 A118470
Adjacent sequences: A157334 A157335 A157336 this_sequence A157338 A157339 A157340
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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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