A078049 Expansion of (1-x)/(1+x+2*x^2-x^3).

1, -2, 0, 5, -7, -3, 22, -23, -24, 92, -67, -141, 367, -152, -723, 1394, -100, -3411, 5005, 1717, -15138, 16709, 15284, -63840, 49981, 92983, -256785, 120800, 485753, -984138, 133432, 2320597, -3571599, -936163, 10399958, -12099231, -9636848, 44235268, -37060803, -61046581, 179403455

Offset: 0

Author

N. J. A. Sloane, Nov 17 2002

Keywords

• sign
• easy

Links

• Michael De Vlieger, Table of n, a(n) for n = 0..4925
• Yüksel Soykan, Summing Formulas For Generalized Tribonacci Numbers, arXiv:1910.03490 [math.GM], 2019.
• Index entries for linear recurrences with constant coefficients, signature (-1,-2,1).

Crossrefs

First differences of A077978.

Programs

Mathematica

LinearRecurrence[{-1,-2,1},{1,-2,0},50] (* Harvey P. Dale, Oct 27 2015 *)

PARI

Vec((1-x)/(1+x+2*x^2-x^3)+O(x^99)) \\ Charles R Greathouse IV, Sep 27 2012

Formula

G.f.: (-1 + x)/(-1 - x - 2*x^2 + x^3). - Michael De Vlieger, Jan 09 2020

Extensions

Deleted certain dangerous or potentially dangerous links. - N. J. A. Sloane, Jan 30 2021