login
Expansion of (1-3x+5x^2-x^3)/(1-3x+x^2)^2.
2

%I #13 Jun 14 2016 11:49:50

%S 1,3,12,44,149,479,1487,4503,13386,39226,113641,326173,928957,2628459,

%T 7395624,20708264,57739517,160391483,444068171,1225831551,3374848806,

%U 9268963318,25401364177,69472849849,189661024249,516904018899

%N Expansion of (1-3x+5x^2-x^3)/(1-3x+x^2)^2.

%C Hankel transform of A033297 (when this starts 1,1,4,...).

%H G. C. Greubel, <a href="/A167477/b167477.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (6,-11,6,-1).

%F a(n) = 4*A001871(n-1) - A001871(n) + A001519(n+2). - _R. J. Mathar_, Jun 28 2011

%t LinearRecurrence[{6, -11, 6, -1}, {1, 3, 12, 44}, 100] (* _G. C. Greubel_, Jun 13 2016 *)

%K easy,nonn

%O 0,2

%A _Paul Barry_, Nov 04 2009