A026108 - OEIS

%I #9 Jul 30 2015 22:36:14

%S 1,28,519,8078,114617,1539720,19981483,253451506,3165132333,

%T 39098271212,479245678847,5841627343734,70916047801249,

%U 858343285202704,10366285999237011,124990982044693562,1505251989334074965

%N Expansion of 1/((1-2x)(1-5x)(1-9x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (28, -265, 966, -1080).

%F a(0)=1, a(1)=28, a(2)=519, a(3)=8078, a(n)=28*a(n-1)-265*a(n-2)+ 966*a(n-3)- 1080*a(n-4). - _Harvey P. Dale_, Feb 20 2013

%F a(n) = -4*2^n/105 +125*5^n/84 -243*9^n/28 +288*12^n/35. _R. J. Mathar_, Jun 23 2013

%t CoefficientList[Series[1/((1-2x)(1-5x)(1-9x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{28,-265,966,-1080},{1,28,519,8078},40] (* _Harvey P. Dale_, Feb 20 2013 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.