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.

A133054 Cubes of Motzkin numbers.

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%I A133054 #9 Oct 06 2017 20:11:18
%S A133054 1,1,8,64,729,9261,132651,2048383,33698267,582182875,10474708672,
%T A133054 194910229592,3731808877831,73218245857875,1467320155924104,
%U A133054 29956212068269248,621670415400598563,13090510375656917139,279262277830549534968,6027856524470650538304
%N A133054 Cubes of Motzkin numbers.
%H A133054 G. C. Greubel, <a href="/A133054/b133054.txt">Table of n, a(n) for n = 0..700</a>
%F A133054 a(n) = A001006(n)^3.
%p A133054 a1006:= gfun:-rectoproc({(-3*x-6)*a(x+1)+(-2*x-7)*a(x+2)+(x+5)*a(x+3), a(0) = 1, a(1) = 1, a(2) = 2},a(x),remember):
%p A133054 map(a1006^3, [$0..60]); # _Robert Israel_, Oct 03 2017
%t A133054 CoefficientList[Series[(1 - x - (1 - 2 x - 3 x^2)^(1/2))/(2 x^2), {x, 0, 50}], x]^3 (* _G. C. Greubel_, Oct 03 2017 *)
%Y A133054 Cf. A000578, A030078, A056570.
%Y A133054 Motzkin numbers: A001006.
%K A133054 nonn
%O A133054 0,3
%A A133054 _Omar E. Pol_, Oct 30 2007