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A029196 Expansion of 1/((1-x^2)(1-x^5)(1-x^6)(1-x^10)). 1

%I

%S 1,0,1,0,1,1,2,1,2,1,4,2,5,2,5,4,7,5,8,5,11,7,13,8,14,11,17,13,19,14,

%T 24,17,27,19,29,24,34,27,37,29,44,34,49,37,52,44,59,49,64,52,73,59,80,

%U 64,85,73,94,80,101,85,113,94

%N Expansion of 1/((1-x^2)(1-x^5)(1-x^6)(1-x^10)).

%H Vincenzo Librandi, <a href="/A029196/b029196.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_23">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 0, 0, 1, 1, -1, -1, 0, 1, -1, -1, 1, 0, -1, -1, 1, 1, 0, 0, 1, 0, -1).

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

%t CoefficientList[Series[1/((1-x^2)(1-x^5)(1-x^6)(1-x^10)),{x,0,80}],x] (* or *) LinearRecurrence[ {0,1,0,0,1,1,-1,-1,0,1,-1,-1,1,0,-1,-1,1,1,0,0,1,0,-1},{1,0,1,0,1,1,2,1,2,1,4,2,5,2,5,4,7,5,8,5,11,7,13},80] (* _Harvey P. Dale_, Jan 25 2013 *)

%K nonn

%O 0,7

%A _N. J. A. Sloane_.

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Last modified April 6 08:44 EDT 2020. Contains 333268 sequences. (Running on oeis4.)