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A047467
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Numbers that are congruent to {0, 2} mod 8.
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2
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0, 2, 8, 10, 16, 18, 24, 26, 32, 34, 40, 42, 48, 50, 56, 58, 64, 66, 72, 74, 80, 82, 88, 90, 96, 98, 104, 106, 112, 114, 120, 122, 128, 130, 136, 138, 144, 146, 152, 154, 160, 162, 168, 170, 176, 178, 184, 186, 192, 194, 200, 202, 208, 210, 216, 218, 224, 226, 232
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..59.
Index to sequences with linear recurrences with constant coefficients, signature (1,1,-1).
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FORMULA
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a(n) = 4*n-5-(-1)^n = 2*A042948(n-1). G.f.: 2*x^2*(1+3x)/((1-x)^2*(1+x)). - R. J. Mathar, Sep 19 2008
a(n) = 8*n-a(n-1)-14 with a(1)=0. - Vincenzo Librandi, Aug 06 2010
a(n+1) = sum(A030308(n,k)*b(k), k>=0) with b(0)=2 and b(k)=2^(k+2)for k>0. - Philippe Deléham, Oct 17 2011.
a(n) = floor((8/3)*floor(3*n/2)). - Clark Kimberling, Jul 4 2012
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PROG
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(PARI) forstep(n=0, 200, [2, 6], print1(n", ")) \\ Charles R Greathouse IV, Oct 17 2011
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CROSSREFS
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Sequence in context: A079930 A126002 * A079599 A110913 A038638 A197115
Adjacent sequences: A047464 A047465 A047466 * A047468 A047469 A047470
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KEYWORD
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nonn,easy,changed
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Vincenzo Librandi, Aug 06 2010
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STATUS
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approved
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