A024052 - OEIS

%I #13 Sep 08 2022 08:44:48

%S 1,4,17,98,561,3000,15409,77782,390113,1952396,9764625,48826794,

%T 244138897,1220700928,6103512881,30517574750,152587886529,

%U 762939448212,3814697259793,19073486321266,95367431632625

%N a(n) = 5^n - n^3.

%H Vincenzo Librandi, <a href="/A024052/b024052.txt">Table of n, a(n) for n = 0..300</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (9,-26,34,-21,5).

%F G.f.: (1 - 5*x + 7*x^2 + 15*x^3 + 6*x^4)/((1-5*x)*(1-x)^4). - Maksym Voznyy (voznyy(AT)mail.ru), Aug 13 2009

%F a(n) = 9*a(n-1) - 26*a(n-2) + 34*a(n-3) - 21*a(n-4) + 5*a(n-5).

%o (Magma) [5^n-n^3: n in [0..35]]; // _Vincenzo Librandi_, Jun 12 2011

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_