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A029065 Expansion of 1/((1-x)*(1-x^4)*(1-x^5)*(1-x^8)). 1

%I

%S 1,1,1,1,2,3,3,3,5,6,7,7,9,11,12,13,16,18,20,21,25,28,30,32,37,41,44,

%T 46,52,57,61,64,71,77,82,86,94,101,107,112,122,130,137,143,154,164,

%U 172,179,192,203,213,221,235,248

%N Expansion of 1/((1-x)*(1-x^4)*(1-x^5)*(1-x^8)).

%C Number of partitions of n into parts 1, 4, 5 and 8. - _Ilya Gutkovskiy_, May 17 2017

%H G. C. Greubel, <a href="/A029065/b029065.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_18">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,1,0,-1,0,1,-2,1,0,-1,0,1,0, 0,1,-1).

%F a(n) = a(n-1)+a(n-4)-a(n-6)+a(n-8)-2*a(n-9)+a(n-10)-a(n-12)+a(n-14)+a(n-17)-a(n-18). - _Wesley Ivan Hurt_, May 17 2021

%t CoefficientList[Series[1/((1 - x)*(1 - x^4)*(1 - x^5)*(1 - x^8)), {x, 0, 50}], x] (* _G. C. Greubel_, May 17 2017 *)

%o (PARI) x='x+O(x^50); Vec(1/((1 - x)*(1 - x^4)*(1 - x^5)*(1 - x^8))) \\ _G. C. Greubel_, May 17 2017

%K nonn

%O 0,5

%A _N. J. A. Sloane_

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Last modified July 31 16:38 EDT 2021. Contains 346376 sequences. (Running on oeis4.)