|
%I #14 Jun 21 2021 13:01:34
%S 1,0,0,0,0,1,1,0,0,1,1,2,1,0,1,2,2,2,2,1,3,3,3,3,3,3,4,5,4,5,5,5,6,7,
%T 6,7,8,7,9,9,9,10,11,10,12,13,12,14,14,14,16,17,16,18,19,19,21,21,21,
%U 23,25,24,26,27,27,30,31,30,32,34,34,37,38,37,40,42,42,45,46,45,49,51,51
%N Expansion of 1/((1-x^5)(1-x^6)(1-x^9)(1-x^11)).
%H <a href="/index/Rec#order_31">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1).
%F a(n) = a(n-5)+a(n-6)+a(n-9)-a(n-14)-a(n-15)-a(n-16)-a(n-17)+a(n-22)+a(n-25)+a(n-26)-a(n-31). - _Wesley Ivan Hurt_, May 28 2021
%t CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^9)(1-x^11)), {x, 0, 100}], x] (* _Stefan Steinerberger_, Apr 19 2006 *)
%t LinearRecurrence[{0,0,0,0,1,1,0,0,1,0,0,0,0,-1,-1,-1,-1,0,0,0,0,1,0,0,1,1,0,0,0,0,-1},{1,0,0,0,0,1,1,0,0,1,1,2,1,0,1,2,2,2,2,1,3,3,3,3,3,3,4,5,4,5,5},100] (* _Harvey P. Dale_, Jun 21 2021 *)
%o (PARI) Vec(1/((1-x^5)*(1-x^6)*(1-x^9)*(1-x^11)) + O(x^80)) \\ _Jinyuan Wang_, Mar 11 2020
%K nonn,easy
%O 0,12
%A _N. J. A. Sloane_
%E More terms from _Stefan Steinerberger_, Apr 19 2006
|
