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Search: id:A158011
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| 511, 1023, 1535, 2047, 2559, 3071, 3583, 4095, 4607, 5119, 5631, 6143, 6655, 7167, 7679, 8191, 8703, 9215, 9727, 10239, 10751, 11263, 11775, 12287, 12799, 13311, 13823, 14335, 14847, 15359, 15871, 16383, 16895, 17407, 17919, 18431, 18943
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OFFSET
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1,1
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COMMENT
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If A=[A158010] 256*n.^2-n (255, 1022, 2301,. ,.,); Y=[A010871] 32 (32, 32, 32,..,); X=[A158011] 512*n-1 (511, 1023, 1535, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 511^2-255 *32^2=1; 1023^2-1022*32^2=1; 1535^2-2301*32^2=1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
Edward Everett Withford, Pell Equation
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=512*n-1 (n>0)
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EXAMPLE
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For n=1, a(1)=511; n=2, a(2)=1023; n=3, a(3)=1535
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CROSSREFS
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Cf. A158010, A010871
Sequence in context: A023691 A045118 A043451 this_sequence A032656 A031899 A143036
Adjacent sequences: A158008 A158009 A158010 this_sequence A158012 A158013 A158014
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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 11 2009
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