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A279282 Self-composition of the cubes; g.f.: A(x) = G(G(x)), where G(x) = g.f. of A000578. 2

%I #7 Apr 02 2019 19:18:44

%S 0,1,16,182,1720,14149,106944,760463,5160488,33756514,214369376,

%T 1328496947,8065970016,48125315989,282851349184,1640791635086,

%U 9409099218712,53408767286521,300417148670400,1676056809217283,9282172245277448,51062759750186170,279196558362482192,1518068927980989575

%N Self-composition of the cubes; g.f.: A(x) = G(G(x)), where G(x) = g.f. of A000578.

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CubicNumber.html">Cubic Number</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (20,-158,640,-1553,2920,-4806,5700,-6820,5700,-4806,2920,-1553,640,-158,20,-1).

%F G.f.: x*(1 - x)^4*(1 + 4*x + x^2)*(1 - 4*x + 29*x^2 - 84*x^3 + 152*x^4 - 84*x^5 + 29*x^6 - 4*x^7 + x^8)/((1 + x^2)^4*(1 - 5*x + x^2)^4).

%t CoefficientList[Series[x (1 - x)^4 (1 + 4 x + x^2) (1 - 4 x + 29 x^2 - 84 x^3 + 152 x^4 - 84 x^5 + 29 x^6 - 4 x^7 + x^8)/((1 + x^2)^4 (1 - 5 x + x^2)^4), {x, 0, 23}], x]

%Y Cf. A000578, A030267, A030279.

%K nonn,easy

%O 0,3

%A _Ilya Gutkovskiy_, Dec 09 2016

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Last modified April 25 11:06 EDT 2024. Contains 371967 sequences. (Running on oeis4.)