A129393 Row sums of A129392.

1, 5, -15, 29, -23, -43, 225, -499, 601, 197, -2991, 8189, -12599, 5045, 35265, -125971, 236857, -206683, -327375, 1808861, -4117079, 5115797, 1120929, -23825971, 66994201, -105678715, 49059345, 275536829, -1022847863, 1966396277, -1807797375, -2442192979, 14557768441

Offset: 0

Author

Jonas Wallgren, Apr 13 2007

Keywords

• sign

Comments

Also a diagonal close to the top of A129392.

Links

• Index entries for linear recurrences with constant coefficients, signature (-2, -1, 4).

Crossrefs

Cf. A129392.

Programs

Mathematica

CoefficientList[Series[(4x^2-7x-1)/((x-1)(4x^2+3x+1)),{x,0,40}],x] (* or *) LinearRecurrence[{-2,-1,4},{1,5,-15},40] (* Harvey P. Dale, Apr 01 2023 *)

Formula

Conjectures from Colin Barker, Oct 07 2015: (Start)

a(n) = -2*a(n-1) - a(n-2) + 4*a(n-3) for n>2.

G.f.: (4*x^2-7*x-1) / ((x-1)*(4*x^2+3*x+1)).

(End)

Extensions

More terms from R. J. Mathar, Apr 30 2007