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Search: id:A158230
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| 258, 1028, 2310, 4104, 6410, 9228, 12558, 16400, 20754, 25620, 30998, 36888, 43290, 50204, 57630, 65568, 74018, 82980, 92454, 102440, 112938, 123948, 135470, 147504, 160050, 173108, 186678, 200760, 215354, 230460, 246078, 262208, 278850, 296004
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OFFSET
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1,1
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COMMENT
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If A=[A158230] 256*n.^2+2*n (n>0g 258, 1028, 2310, , ,.,); Y=[A010855] 16 (16, 16, 16, ,.,); X=[A158231] 256*n+1 (n>0, 257, 513, 769, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 257^2-258*16^2=1; 513^2-1028*16^2=1;769^2-2310*16^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=256*n^2+2*n (n>0)
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EXAMPLE
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For n=1, a(1)=258; n=2, a(2)=1028; n=3, a(3)=2310
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CROSSREFS
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Cf. A010855, A158231
Sequence in context: A121237 A161683 A031514 this_sequence A097734 A121915 A066129
Adjacent sequences: A158227 A158228 A158229 this_sequence A158231 A158232 A158233
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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 14 2009
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