A198401 a(n) = 8^n + n^8.

1, 9, 320, 7073, 69632, 423393, 1941760, 7861953, 33554432, 177264449, 1173741824, 8804293473, 69149458432, 550571544609, 4399522300160, 35186934979457, 281479271677952, 2251806789442689, 18014409529442560, 144115205059418913

Offset: 0

Author

Vincenzo Librandi, Oct 27 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (17,-108,372,-798,1134,-1092,708,-297,73,-8).

Crossrefs

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

Programs

Magma

[8^n+n^8: n in [0..20]]

Mathematica

f[n_] := 8^n + n^8; f[Range[0, 30]]
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 *)

PARI

a(n)=8^n+n^8 \\ Charles R Greathouse IV, Oct 16 2015

Formula

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