The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A029302 Expansion of 1/((1-x^3)(1-x^6)(1-x^9)(1-x^11)). 0

%I

%S 1,0,0,1,0,0,2,0,0,3,0,1,4,0,1,5,0,2,7,0,3,8,1,4,10,1,5,12,2,7,14,3,8,

%T 17,4,10,20,5,12,23,7,14,27,8,17,31,10,20,35,12,23,40,14,27,45,17,31,

%U 50,20,35,56,23,40,62,27,45

%N Expansion of 1/((1-x^3)(1-x^6)(1-x^9)(1-x^11)).

%H <a href="/index/Rec#order_29">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 0, 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)=3, a(10)=0, a(11)=1, a(12)=4, a(13)=0, a(14)=1, a(15)=5, a(16)=0, a(17)=2, a(18)=7, a(19)=0, a(20)=3, a(21)=8, a(22)=1, a(23)=4, a(24)=10, a(25)=1, a(26)=5, a(27)=12, a(28)=2, a(n)=a(n-3)+a(n-6)+a(n-11)- a(n-12)-a(n-14)- a(n-15)-a(n-17)+a(n-18)+a(n-23)+a(n-26)-a(n-29). - _Harvey P. Dale_, Oct 20 2014

%t CoefficientList[Series[1/((1-x^3)(1-x^6)(1-x^9)(1-x^11)),{x,0,70}],x] (* or *) LinearRecurrence[{0,0,1,0,0,1,0,0,0,0,1,-1,0,-1,-1,0,-1,1,0,0,0,0,1,0,0,1,0,0,-1},{1,0,0,1,0,0,2,0,0,3,0,1,4,0,1,5,0,2,7,0,3,8,1,4,10,1,5,12,2},70] (* _Harvey P. Dale_, Oct 20 2014 *)

%K nonn

%O 0,7

%A _N. J. A. Sloane_.

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 30 13:47 EST 2021. Contains 349420 sequences. (Running on oeis4.)