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Expansion of 1/((1-x^7)(1-x^8)(1-x^11)(1-x^12)).
1

%I #12 May 23 2021 19:40:23

%S 1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,1,0,1,2,1,1,2,2,2,1,2,2,2,2,3,3,3,3,

%T 3,4,4,3,4,4,5,4,5,6,6,5,6,7,7,6,7,8,8,7,9,10,10,9,10,11,11,10,12,13,

%U 13,12,14,15,15,14,16,17,17

%N Expansion of 1/((1-x^7)(1-x^8)(1-x^11)(1-x^12)).

%H G. C. Greubel, <a href="/A029437/b029437.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_38">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1, -2, -1, 0, 0, -1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1).

%t CoefficientList[Series[1/((1 - x^7)*(1 - x^8)*(1 - x^11)*(1 - x^12)), {x, 0, 50}], x] (* _G. C. Greubel_, Apr 20 2017 *)

%t LinearRecurrence[{0,0,0,0,0,0,1,1,0,0,1,1,0,0,-1,0,0,-1,-2,-1,0,0,-1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,-1},{1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,1,0,1,2,1,1,2,2,2,1,2,2,2,2,3,3,3,3,3,4,4,3},80] (* _Harvey P. Dale_, May 23 2021 *)

%o (PARI) x='x+O('x^50); Vec(1/((1 - x^7)*(1 - x^8)*(1 - x^11)*(1 - x^12))) \\ _G. C. Greubel_, Apr 20 2017

%K nonn,easy

%O 0,20

%A _N. J. A. Sloane_