OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (10,-17,8).
FORMULA
G.f.: (1+6*x-63*x^2)/((1-x)^2*(1-8*x)).
a(n) = 10*a(n-1) - 17*a(n-2) + 8*a(n-3).
E.g.f.: exp(x)*(exp(7*x) + 8*x). - Elmo R. Oliveira, Sep 10 2024
MATHEMATICA
Table[(8^n + 8 n), {n, 0, 30}] (* or *) CoefficientList[Series[(1 + 6 x - 63 x^2)/((1 - x)^2(1 - 8 x)), {x, 0, 30}], x]
LinearRecurrence[{10, -17, 8}, {1, 16, 80}, 20] (* Harvey P. Dale, May 29 2021 *)
PROG
(Magma) [8^n + 8*n: n in [0..30]]; /* or */ I:=[1, 16, 80]; [n le 3 select I[n] else 10*Self(n-1)-17*Self(n-2)+8*Self(n-3): n in [1..30]];
(PARI) a(n)=8^n+8*n \\ Charles R Greathouse IV, Apr 18 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Mar 02 2013
STATUS
approved