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A073358
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Binomial transform, alternating in sign, of the tribonacci numbers.
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2
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0, -1, -1, -2, -2, -2, 0, 4, 12, 24, 40, 56, 64, 48, -16, -160, -416, -800, -1280, -1728, -1856, -1152, 1152, 6016, 14336, 26368, 40704, 52736, 52736, 24064, -57344, -220160, -488448, -862208, -1284096, -1591296, -1458176, -348160
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OFFSET
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0,4
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REFERENCES
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Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego, CA: Academic Press, 1995.
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LINKS
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M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
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FORMULA
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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).
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MATHEMATICA
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h[n_] := h[n]=2*h[n-1]-2*h[n-3]; h[0]=0; h[1]=-1; h[2]=-1
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Jul 30 2002
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STATUS
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approved
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