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a(n) = (8*n+3)^6.
1

%I #13 Sep 08 2022 08:44:41

%S 729,1771561,47045881,387420489,1838265625,6321363049,17596287801,

%T 42180533641,90458382169,177978515625,326940373369,567869252041,

%U 941480149401,1500730351849,2313060765625,3462825991689

%N a(n) = (8*n+3)^6.

%H Vincenzo Librandi, <a href="/A017106/b017106.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 a(0)=729, a(1)=1771561, a(2)=47045881, a(3)=387420489, a(4)=1838265625, a(5)=6321363049, a(6)=17596287801, a(n)=7*a(n-1)-21*a(n-2)+ 35*a(n-3)- 35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7). - _Harvey P. Dale_, Oct 21 2015

%t Table[(8 n + 3)^6, {n, 0, 40}] (* _Bruno Berselli_, Sep 17 2015 *)

%t LinearRecurrence[{7,-21,35,-35,21,-7,1},{729,1771561,47045881,387420489,1838265625,6321363049,17596287801},30] (* _Harvey P. Dale_, Oct 21 2015 *)

%o (Magma) [(8*n+3)^6: n in [0..30]]; // _Vincenzo Librandi_, Jul 12 2011

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_.