OFFSET
0,2
COMMENTS
a(2)=0 according to the Pythagorean theorem.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (12,-47,60).
FORMULA
a(n) = 12*a(n-1) - 47*a(n-2) + 60*a(n-3), a(0)=-1, a(1)=-2, a(2)=0.
G.f.: -(1 - 10*x + 23*x^2)/((1-3*x)*(1-4*x)*(1-5*x)). - Bruno Berselli, Jul 15 2011
MATHEMATICA
Table[5^n-3^n-4^n, {n, 0, 20}]
PROG
(PARI) a(n)=5^n-4^n-3^n \\ Charles R Greathouse IV, Jul 15 2011
(Magma) [5^n - 4^n - 3^n: n in [0..30] ]; // Vincenzo Librandi, Jul 18 2011
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Zak Seidov, Jul 15 2011
STATUS
approved