A024772 - OEIS

%I #16 Feb 08 2026 19:51:53

%S 1,29,554,8794,125715,1681143,21476668,265496948,3202922789,

%T 37927649617,442690769742,5108795150862,58428053357623,

%U 663418639575851,7489021847982176,84142202352592936,941752569789292617

%N Expansion of 1/((1-x)(1-8x)(1-9x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (29, -287, 1051, -792).

%F a(n) = (28*11^(n+3) - 105*9^(n+3) + 80*8^(n+3) - 3)/1680. - _Yahia Kahloune_, Jun 28 2013

%F From _Wesley Ivan Hurt_, Feb 08 2026: (Start)

%F a(n) = 29*a(n-1) - 287*a(n-2) + 1051*a(n-3) - 792*a(n-4).

%F G.f.: 1/((1-x)(1-8*x)*(1-9*x)*(1-11*x)). (End)

%t CoefficientList[Series[1/((1 - x) (1 - 8 x) (1 - 9 x) (1 - 11 x)), {x, 0, 20}], x] (* _Wesley Ivan Hurt_, Feb 08 2026 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_