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 A047393 Numbers that are congruent to {0, 1} mod 8. 3

%I

%S 0,1,8,9,16,17,24,25,32,33,40,41,48,49,56,57,64,65,72,73,80,81,88,89,

%T 96,97,104,105,112,113,120,121,128,129,136,137,144,145,152,153,160,

%U 161,168,169,176,177,184,185,192,193,200,201,208,209,216,217,224,225,232

%N Numbers that are congruent to {0, 1} mod 8.

%H <a href="/index/Rea#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (1,1,-1).

%F a(n)=8*n-a(n-1)-15 (with a(1)=0) [From _Vincenzo Librandi_, Aug 05 2010]

%F a(n)=4*n-11/2-3*(-1)^n/2. G.f. x^2*(1+7*x) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011

%F a(n+1)=Sum_k>=0 {A030308(n,k)*A146541(k)}. - From Philippe DelĂ©ham, Oct 17 2011.

%p a[0]:=0:a[1]:=1:for n from 2 to 100 do a[n]:=a[n-2]+8 od: seq(a[n], n=0..58); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 16 2008

%o (PARI) forstep(n=0,200,[1,7],print1(n", ")) \\ _Charles R Greathouse IV_, Oct 17 2011

%K nonn,easy

%O 1,3

%A _N. J. A. Sloane_.

%E More terms from _James A. Sellers_, Jun 20 2000

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