A029126 - OEIS

%I #9 Mar 18 2020 08:59:23

%S 1,1,1,1,1,1,1,2,2,2,2,3,4,4,5,5,5,5,6,7,7,8,9,10,11,12,13,13,14,15,

%T 16,17,18,20,21,23,25,26,27,28,30,31,33,35,37,39,41,44,46,48,50,52,54,

%U 56,59,62,65,68,71,74,77,80

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

%H <a href="/index/Rec#order_31">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1).

%F a(0)=1, a(1)=1, a(2)=1, a(3)=1, a(4)=1, a(5)=1, a(6)=1, a(7)=2, a(8)=2, a(9)=2, a(10)=2, a(11)=3, a(12)=4, a(13)=4, a(14)=5, a(15)=5, a(16)=5, a(17)=5, a(18)=6, a(19)=7, a(20)=7, a(21)=8, a(22)=9, a(23)=10, a(24)=11, a(25)=12, a(26)=13, a(27)=13, a(28)=14, a(29)=15, a(30)=16, a(n) = a(n-1) + a(n-7) - a(n-8) + a(n-11) - a(n-13) - a(n-18) + a(n-20) - a(n-23) + a(n-24) + a(n-30) - a(n-31). - _Harvey P. Dale_, Mar 10 2015

%t CoefficientList[Series[1/((1-x)(1-x^7)(1-x^11)(1-x^12)),{x,0,80}],x] (* _Harvey P. Dale_, Mar 10 2015 *)

%o (PARI) Vec(1/((1-x)*(1-x^7)*(1-x^11)*(1-x^12)) + O(x^99)) \\ _Jinyuan Wang_, Mar 18 2020

%K nonn,easy

%O 0,8

%A _N. J. A. Sloane_