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

0, 1, 16, 182, 1720, 14149, 106944, 760463, 5160488, 33756514, 214369376, 1328496947, 8065970016, 48125315989, 282851349184, 1640791635086, 9409099218712, 53408767286521, 300417148670400, 1676056809217283, 9282172245277448, 51062759750186170, 279196558362482192, 1518068927980989575

Offset

0,3

Links

Table of n, a(n) for n=0..23.

N. J. A. Sloane, Transforms

Eric Weisstein's World of Mathematics, Cubic Number

Index entries for linear recurrences with constant coefficients, signature (20,-158,640,-1553,2920,-4806,5700,-6820,5700,-4806,2920,-1553,640,-158,20,-1).

Formula

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).

Mathematica

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]
LinearRecurrence[{20, -158, 640, -1553, 2920, -4806, 5700, -6820, 5700, -4806, 2920, -1553, 640, -158, 20, -1}, {0, 1, 16, 182, 1720, 14149, 106944, 760463, 5160488, 33756514, 214369376, 1328496947, 8065970016, 48125315989, 282851349184, 1640791635086}, 30] (* Harvey P. Dale, Sep 27 2024 *)

Crossrefs

Cf. A000578, A030267, A030279.

Sequence in context: A001455 A199018 A204608 * A231135 A230992 A016298

Adjacent sequences: A279279 A279280 A279281 * A279283 A279284 A279285

Keyword

nonn,easy

Author

Ilya Gutkovskiy, Dec 09 2016

Status

approved