A073358 Binomial transform, alternating in sign, of the tribonacci numbers.

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

Offset: 0

Author

Mario Catalani (mario.catalani(AT)unito.it), Jul 30 2002

Keywords

• easy
• sign

References

• Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego, CA: Academic Press, 1995.

Links

• 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 arXiv version]
• 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]
• Index entries for linear recurrences with constant coefficients, signature (2,0,-2).

Crossrefs

Cf. A000073, A073357.

Programs

Mathematica

h[n_] := h[n]=2*h[n-1]-2*h[n-3]; h[0]=0; h[1]=-1; h[2]=-1

Formula

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).