cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A133038 Cubes of A000931.

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%I A133038 #16 Apr 20 2024 10:23:03
%S A133038 1,0,0,1,0,1,1,1,8,8,27,64,125,343,729,1728,4096,9261,21952,50653,
%T A133038 117649,274625,636056,1481544,3442951,8000000,18609625,43243551,
%U A133038 100544625,233744896,543338496,1263214441,2936493568,6826561273,15870019697,36892780289
%N A133038 Cubes of A000931.
%H A133038 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,2,3,-2,4,-4,-1,-1,0,-1).
%F A133038 a(n) = A000931(n)^3.
%F A133038 a(n) = a(n-1)+2*a(n-2)+3*a(n-3)-2*a(n-4)+4*a(n-5)-4*a(n-6)-a(n-7)-a(n-8)-a(n-10).
%F A133038 G.f.: (x^9-x^8+x^7+x^6-5*x^5+x^4-2*x^3-2*x^2-x+1) / ((x-1) * (x^3-2*x^2+3*x-1) * (x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1)). - _Colin Barker_, Sep 18 2013
%e A133038 a(10)=27 because Padovan(10)=3 and 3^3=27.
%t A133038 CoefficientList[Series[(1 - x^2)/(1 - x^2 - x^3), {x, 0, 50}], x]^3
%Y A133038 Cf. A000578, A030078, A056570. Padovan sequence: A000931.
%K A133038 easy,nonn
%O A133038 0,9
%A A133038 _Omar E. Pol_, Nov 02 2007