A029305 - OEIS

%I #11 Mar 12 2020 07:04:25

%S 1,0,0,1,0,0,2,0,0,2,0,1,4,0,1,4,0,2,6,0,2,6,1,4,9,1,4,9,2,6,12,2,6,

%T 13,4,9,17,4,9,18,6,12,22,6,13,24,9,17,29,9,18,31,12,22,36,13,24,39,

%U 17,29,45,18,31,48,22,36,55,24

%N Expansion of 1/((1-x^3)(1-x^6)(1-x^11)(1-x^12)).

%H <a href="/index/Rec#order_32">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, -1, -1, 0, -1, -1, 0, 1, 1, 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, -1).

%F a(0)=1, a(1)=0, a(2)=0, a(3)=1, a(4)=0, a(5)=0, a(6)=2, a(7)=0, a(8)=0, a(9)=2, a(10)=0, a(11)=1, a(12)=4, a(13)=0, a(14)=1, a(15)=4, a(16)=0, a(17)=2, a(18)=6, a(19)=0, a(20)=2, a(21)=6, a(22)=1, a(23)=4, a(24)=9, a(25)=1, a(26)=4, a(27)=9, a(28)=2, a(29)=6, a(30)=12, a(31)=2, a(n) = a(n - 3) + a(n - 6) - a(n - 9) + a(n - 11) + a(n - 12) - a(n - 14) - a(n - 15) - a(n - 17) - a(n - 18) + a(n - 20) + a(n - 21) - a(n - 23) + a(n - 26) + a(n - 29) - a(n - 32). - _Harvey P. Dale_, Jan 16 2013

%t CoefficientList[Series[1/((1-x^3)(1-x^6)(1-x^11)(1-x^12)),{x,0,70}],x] (* _Harvey P. Dale_, Jan 16 2013 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^6)*(1-x^11)*(1-x^12)) + O(x^80)) \\ _Jinyuan Wang_, Mar 11 2020

%K nonn,easy

%O 0,7

%A _N. J. A. Sloane_