|
%I #10 May 07 2017 22:44:25
%S 0,-1,-1,-2,-2,-2,0,4,12,24,40,56,64,48,-16,-160,-416,-800,-1280,
%T -1728,-1856,-1152,1152,6016,14336,26368,40704,52736,52736,24064,
%U -57344,-220160,-488448,-862208,-1284096,-1591296,-1458176,-348160
%N Binomial transform, alternating in sign, of the tribonacci numbers.
%D Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego, CA: Academic Press, 1995.
%H M. Bernstein and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.CO/0205301">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]
%H M. Bernstein and N. J. A. Sloane, <a href="/A003633/a003633_1.pdf">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-2).
%F a(n)=2*a(n-1)-2*a(n-3), a(0)=0, a(1)=-1, a(2)=-1. Generating function A(x)=x*(x-1)/(1-2x+2x^3).
%t h[n_] := h[n]=2*h[n-1]-2*h[n-3]; h[0]=0; h[1]=-1; h[2]=-1
%Y Cf. A000073, A073357.
%K easy,sign
%O 0,4
%A Mario Catalani (mario.catalani(AT)unito.it), Jul 30 2002
|
