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A029067 Expansion of 1/((1-x)*(1-x^4)*(1-x^5)*(1-x^10)). 0

%I

%S 1,1,1,1,2,3,3,3,4,5,7,7,8,9,11,13,14,15,17,19,23,24,26,28,32,36,38,

%T 40,44,48,54,56,60,64,70,76,80,84,90,96,105,109,115,121,130,139,145,

%U 151,160,169,181,187,196,205,217,229,238,247,259,271,287,296,308

%N Expansion of 1/((1-x)*(1-x^4)*(1-x^5)*(1-x^10)).

%C Number of partitions of n into parts 1, 4, 5 and 10. - _Ilya Gutkovskiy_, May 17 2017

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,1,0,-1,0,0,-1,2,-1,0,0, -1,0,1,0,0,1,-1).

%t CoefficientList[Series[1/((1 - x)*(1 - x^4)*(1 - x^5)*(1 - x^10)), {x, 0, 50}], x] (* _G. C. Greubel_, May 17 2017 *)

%t LinearRecurrence[{1,0,0,1,0,-1,0,0,-1,2,-1,0,0,-1,0,1,0,0,1,-1},{1,1,1,1,2,3,3,3,4,5,7,7,8,9,11,13,14,15,17,19},70] (* _Harvey P. Dale_, Jan 17 2019 *)

%o (PARI) a(n)=round((n+10)*(2*n^2+40*n+129+15*(-1)^n)/2400+(n\5+1)*[2,0,-1,-1,0][n%5+1]/10+(n%2)*(-1)^(n\2)/8) \\ _Tani Akinari_, May 22 2014

%o (PARI) x='x+O('x^50); Vec(1/((1 - x)*(1 - x^4)*(1 - x^5)*(1 - x^10))) \\ _G. C. Greubel_, May 17 2017

%K nonn

%O 0,5

%A _N. J. A. Sloane_

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Last modified September 19 08:54 EDT 2021. Contains 347556 sequences. (Running on oeis4.)