OFFSET
0,2
LINKS
Paolo Xausa, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (16,-71,56).
FORMULA
G.f.: 1/(1-8*x)-1/(1-7*x)+1/(1-x).
E.g.f.: exp(8*x)-exp(7*x)+exp(x).
a(n) = 15*a(n-1)-56*a(n-2)+42 with a(0) = 1, a(1) = 2. - Vincenzo Librandi, Jul 21 2010
MATHEMATICA
Table[8^n - 7^n + 1, {n, 0, 25}] (* Paolo Xausa, Aug 03 2024 *)
PROG
(PARI) a(n)=8^n-7^n+1 \\ Charles R Greathouse IV, Jun 11 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 31 2009
STATUS
approved