A024446 - OEIS

%I #12 Jul 30 2015 22:10:35

%S 1,31,638,10982,171171,2506917,35201776,479688604,6392929061,

%T 83765551883,1083070611714,13855878102066,175736023769671,

%U 2213065674408529,27704146634051252,345076242383014568,4279844990866901001,52886642197647118455,651455131567317021190

%N Expansion of 1/((1-x)(1-7x)(1-11x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (31, -323, 1217, -924).

%F a(0)=1, a(1)=31, a(2)=638, a(3)=10982, a(n)=31*a(n-1)-323*a(n-2)+1217*a(n-3)- 924*a(n-4). - _Harvey P. Dale_, Mar 29 2013

%F a(n) = (2*12^(n+4) - 3*11^(n+4) + 11*7^(n+3) - 2)/1320. [_Yahia Kahloune_, Jul 01 2013]

%t CoefficientList[Series[1/((1-x)(1-7x)(1-11x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{31,-323,1217,-924},{1,31,638,10982},30] (* _Harvey P. Dale_, Mar 29 2013 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Harvey P. Dale_, Mar 29 2013