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a(n) = 8^n + n^8.
4

%I #19 Aug 26 2023 17:55:37

%S 1,9,320,7073,69632,423393,1941760,7861953,33554432,177264449,

%T 1173741824,8804293473,69149458432,550571544609,4399522300160,

%U 35186934979457,281479271677952,2251806789442689,18014409529442560,144115205059418913

%N a(n) = 8^n + n^8.

%H Vincenzo Librandi, <a href="/A198401/b198401.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (17,-108,372,-798,1134,-1092,708,-297,73,-8).

%F G.f.: -(9*x^9 +1966*x^8 +34133*x^7 +120575*x^6 +109459*x^5 +18599*x^4 -2233*x^3 -275*x^2 +8*x -1) / ((x -1)^9*(8*x -1)). - _Colin Barker_, Sep 13 2013

%t f[n_] := 8^n + n^8; f[Range[0, 30]]

%t LinearRecurrence[{17,-108,372,-798,1134,-1092,708,-297,73,-8},{1,9,320,7073,69632,423393,1941760,7861953,33554432,177264449},30] (* _Harvey P. Dale_, Aug 26 2023 *)

%o (Magma) [8^n+n^8: n in [0..20]]

%o (PARI) a(n)=8^n+n^8 \\ _Charles R Greathouse IV_, Oct 16 2015

%Y Cf. A001580, A001585, A001589, A001593, A001594, A001596, A177068, A177069, A185277.

%K nonn,easy

%O 0,2

%A _Vincenzo Librandi_, Oct 27 2011