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A198401
a(n) = 8^n + n^8.
4
1, 9, 320, 7073, 69632, 423393, 1941760, 7861953, 33554432, 177264449, 1173741824, 8804293473, 69149458432, 550571544609, 4399522300160, 35186934979457, 281479271677952, 2251806789442689, 18014409529442560, 144115205059418913
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (17,-108,372,-798,1134,-1092,708,-297,73,-8).
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
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 *)
PROG
(Magma) [8^n+n^8: n in [0..20]]
(PARI) a(n)=8^n+n^8 \\ Charles R Greathouse IV, Oct 16 2015
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Oct 27 2011
STATUS
approved