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A029059 Expansion of 1/((1-x)*(1-x^3)*(1-x^9)*(1-x^11)). 1

%I

%S 1,1,1,2,2,2,3,3,3,5,5,6,8,8,9,11,11,12,15,15,17,20,21,23,26,27,29,33,

%T 34,37,41,43,46,51,53,56,62,64,68,74,77,81,88,91,96,104,107,113,121,

%U 125,131,140,144,151,161,166

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

%C Number of partitions of n into parts 1, 3, 9 and 11. - _Ilya Gutkovskiy_, May 16 2017

%H G. C. Greubel, <a href="/A029059/b029059.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1,0,0,0,0,1,-1,1,-2,1,-1,1,0,0,0,0,-1,1,0,1,-1).

%t CoefficientList[Series[1/((1 - x)*(1 - x^3)*(1 - x^9)*(1 - x^11)), {x, 0, 50}], x] (* _G. C. Greubel_, May 17 2017 *)

%t LinearRecurrence[{1,0,1,-1,0,0,0,0,1,-1,1,-2,1,-1,1,0,0,0,0,-1,1,0,1,-1},{1,1,1,2,2,2,3,3,3,5,5,6,8,8,9,11,11,12,15,15,17,20,21,23},80] (* _Harvey P. Dale_, Apr 21 2019 *)

%o (PARI) x='x+O('x^50); Vec(1/((1-x)*(1-x^3)*(1-x^9)*(1-x^11))) \\ _G. C. Greubel_, May 17 2017

%K nonn

%O 0,4

%A _N. J. A. Sloane_

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Last modified February 29 05:25 EST 2020. Contains 332353 sequences. (Running on oeis4.)