A077929 Expansion of (1-x)^(-1)/(1+2*x+x^2-x^3).

1, -1, 2, -1, 0, 4, -8, 13, -13, 6, 15, -48, 88, -112, 89, 23, -246, 559, -848, 892, -376, -987, 3243, -5874, 7519, -5920, -1552, 16544, -37455, 56815, -59630, 24991, 66464, -217548, 393624, -503235, 395299, 106262, -1111057, 2511152, -3804984, 3987760, -1659383, -4473977, 14595098

Offset

0,3

Links

Table of n, a(n) for n=0..44.

Index entries for linear recurrences with constant coefficients, signature (-1,1,2,-1).

Mathematica

CoefficientList[Series[(1-x)^(-1)/(1+2x+x^2-x^3), {x, 0, 50}], x] (* Harvey P. Dale, May 31 2025 *)
(* Alternative: *)
LinearRecurrence[{-1, 1, 2, -1}, {1, -1, 2, -1}, 50] (* Harvey P. Dale, May 31 2025 *)

Crossrefs

Sequence in context: A300864 A300184 A160168 * A178039 A185411 A254882

Adjacent sequences: A077926 A077927 A077928 * A077930 A077931 A077932

Keyword

sign,easy,changed

Author

N. J. A. Sloane, Nov 17 2002

Status

approved