A120468 Expansion of -2*x*(-8-12*x+9*x^2) / ( (x-1)*(3*x-1)*(3*x+1)*(1+x) ).

0, 16, 24, 142, 240, 1276, 2184, 11482, 19680, 103336, 177144, 930022, 1594320, 8370196, 14348904, 75331762, 129140160, 677985856, 1162261464, 6101872702, 10460353200, 54916854316, 94143178824, 494251688842, 847288609440

Offset: 0

Author

Roger L. Bagula and Gary W. Adamson, Jul 04 2006

Keywords

• nonn
• easy
• less

Links

• Index entries for linear recurrences with constant coefficients, signature (0,10,0,-9).

Programs

Mathematica

LinearRecurrence[{0,10,0,-9},{0,16,24,142},30] (* Harvey P. Dale, Dec 06 2023 *)

Formula

8*a(n) = (-1)^(n+1) * (13+3^(n+2)) + 11*(3^(n+1) -1). - R. J. Mathar, Nov 07 2011

a(2n+1) = 2*A187709(n+1). - R. J. Mathar, Nov 07 2011