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A029225 Expansion of 1/((1-x^2)(1-x^6)(1-x^11)(1-x^12)). 1

%I #12 May 24 2021 15:14:31

%S 1,0,1,0,1,0,2,0,2,0,2,1,4,1,4,1,4,2,6,2,6,2,7,4,10,4,10,4,11,6,14,6,

%T 14,7,16,10,20,10,20,11,22,14,26,14,27,16,30,20,35,20,36,22,39,26,44,

%U 27,46,30,50,35,56,36,58,39,62

%N Expansion of 1/((1-x^2)(1-x^6)(1-x^11)(1-x^12)).

%C Number of partitions of n into parts 2, 6, 11, and 12. - _Vincenzo Librandi_, Jun 02 2014

%H Vincenzo Librandi, <a href="/A029225/b029225.txt">Table of n, a(n) for n = 0..1000</a>

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

%F From _Wesley Ivan Hurt_, May 24 2021: (Start)

%F G.f.: 1/((1-x^2)*(1-x^6)*(1-x^11)*(1-x^12)).

%F a(n) = a(n-2)+a(n-6)-a(n-8)+a(n-11)+a(n-12)-a(n-13)-a(n-14)-a(n-17)-a(n-18)+a(n-19)+a(n-20)-a(n-23)+a(n-25)+a(n-29)-a(n-31). (End)

%t CoefficientList[Series[1/((1 - x^2) (1 - x^6) (1 - x^11) (1 - x^12)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 02 2014 *)

%o (PARI) Vec(1/((1-x^2)*(1-x^6)*(1-x^11)*(1-x^12)) + O(x^80)) \\ _Jinyuan Wang_, Mar 15 2020

%K nonn,easy

%O 0,7

%A _N. J. A. Sloane_

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Last modified March 28 16:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)