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a(n) = (9*n + 6)^3.
1

%I #19 Sep 08 2022 08:44:42

%S 216,3375,13824,35937,74088,132651,216000,328509,474552,658503,884736,

%T 1157625,1481544,1860867,2299968,2803221,3375000,4019679,4741632,

%U 5545233,6434856,7414875,8489664

%N a(n) = (9*n + 6)^3.

%H Vincenzo Librandi, <a href="/A017235/b017235.txt">Table of n, a(n) for n = 0..10000</a>

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

%F G.f.: 27*(8 + 93*x + 60*x^2 + x^3)/(x-1)^4. - _R. J. Mathar_, Mar 20 2018

%t (9*Range[0,30]+6)^3 (* or *) LinearRecurrence[{4,-6,4,-1},{216,3375,13824,35937},30] (* _Harvey P. Dale_, Feb 14 2018 *)

%o (Magma) [(9*n+6)^3: n in [0..35]]; // _Vincenzo Librandi_, Jul 25 2011

%Y Cf. A000578 (n^3), A017233 (9*n+6).

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_