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A047467 Numbers that are congruent to {0, 2} mod 8. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..59.

Index to sequences with linear recurrences with constant coefficients, signature (1,1,-1).

FORMULA

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

PROG

(PARI) forstep(n=0, 200, [2, 6], print1(n", ")) \\ Charles R Greathouse IV, Oct 17 2011

CROSSREFS

Sequence in context: A079930 A126002 * A079599 A110913 A038638 A197115

Adjacent sequences:  A047464 A047465 A047466 * A047468 A047469 A047470

KEYWORD

nonn,easy,changed

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, Aug 06 2010

STATUS

approved

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Last modified May 24 19:33 EDT 2013. Contains 225630 sequences.