%I #19 Apr 05 2024 20:09:27

%S 1,0,-7,-26,-63,-124,-215,-342,-511,-728,-999,-1330,-1727,-2196,-2743,

%T -3374,-4095,-4912,-5831,-6858,-7999,-9260,-10647,-12166,-13823,

%U -15624,-17575,-19682,-21951,-24388,-26999,-29790,-32767,-35936,-39303,-42874,-46655,-50652,-54871,-59318,-63999

%N a(n) = 1 - n^3.

%H Vincenzo Librandi, <a href="/A024001/b024001.txt">Table of n, a(n) for n = 0..730</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

%F From _G. C. Greubel_, May 11 2017: (Start)

%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

%F G.f.: (1 - 4*x - x^2 - 2*x^3)/(1 - x)^4.

%F E.g.f.: (1 - x - 3*x^2 - x^3)*exp(x). (End)

%t Table[1 - n^3, {n, 0, 50}] (* _Bruno Berselli_, Jun 12 2015 *)

%t CoefficientList[Series[(1 - 4*x - x^2 - 2*x^3)/(1 - x)^4, {x, 0, 50}], x] (* _G. C. Greubel_, May 11 2017 *)

%o (Magma) [1-n^3: n in [0..50]]; // _Vincenzo Librandi_, Apr 29 2011

%o (Maxima) A024001(n):=1-n^3$ makelist(A024001(n),n,0,30); /* _Martin Ettl_, Nov 05 2012 */

%o (PARI) x='x+O('x^50); Vec((1 - 4*x - x^2 - 2*x^3)/(1 - x)^4) \\ _G. C. Greubel_, May 11 2017

%K sign,easy

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Henry Bottomley_, Jan 08 2001