A017202 - OEIS

%I #16 Jun 30 2026 15:42:38

%S 729,2985984,85766121,729000000,3518743761,12230590464,34296447249,

%T 82653950016,177978515625,351298031616,646990183449,1126162419264,

%U 1870414552161,2985984000000,4608273662721

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

%H Vincenzo Librandi, <a href="/A017202/b017202.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).

%F G.f.: -729*(1 + 4089*x + 88998*x^2 + 262438*x^3 + 154113*x^4 + 15177*x^5 + 64*x^6)/(x-1)^7. - _R. J. Mathar_, Jul 14 2016

%t (9*Range[0,30]+3)^6 (* _Harvey P. Dale_, Nov 24 2018 *)

%t (* Alternative: *)

%t LinearRecurrence[{7,-21,35,-35,21,-7,1},{729,2985984,85766121,729000000,3518743761,12230590464,34296447249},30] (* _Harvey P. Dale_, Nov 24 2018 *)

%o (Magma) [(9*n+3)^6: n in [0..20]]; // _Vincenzo Librandi_, Jul 23 2011

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_