A078048 Expansion of (1-x)/(1+x+2*x^2-2*x^3).

1, -2, 0, 6, -10, -2, 34, -50, -22, 190, -246, -178, 1050, -1186, -1270, 5742, -5574, -8450, 31082, -25330, -53734, 166558, -109750, -330834, 883450, -441282, -1987286, 4636750, -1544742, -11703330, 24066314, -3749138, -67790150, 123421054, 4660970, -387083378, 624603546

Offset

0,2

Links

Table of n, a(n) for n=0..36.

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

Formula

a(0) = 1, a(1) = -2, a(2) = 0, a(n) = -a(n-1) - 2*a(n-2) + 2*a(n-3) for n > 2. - Harvey P. Dale, Dec 11 2011

Mathematica

CoefficientList[Series[(1-x)/(1+x+2x^2-2x^3), {x, 0, 40}], x] (* or *) LinearRecurrence[{-1, -2, 2}, {1, -2, 0}, 40] (* Harvey P. Dale, Dec 11 2011 *)

Prog

(PARI) Vec((1-x)/(1+x+2*x^2-2*x^3) + O(x^50)) \\ Jinyuan Wang, Apr 07 2020

Crossrefs

First differences of A077977.

Sequence in context: A175478 A011123 A087464 * A362186 A335061 A350462

Adjacent sequences: A078045 A078046 A078047 * A078049 A078050 A078051

Keyword

sign,easy

Author

N. J. A. Sloane, Nov 17 2002

Status

approved