OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..300
Henri W. Gould, The Girard-Waring power sum formulas for symmetric functions and Fibonacci sequences, The Fibonacci Quarterly, 37(2):135-140, 1999.
Index entries for linear recurrences with constant coefficients, signature (14,-63,90).
FORMULA
From Mohammad K. Azarian, Dec 26 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-5*x) + 1/(1-6*x).
E.g.f.: e^(3*x) + e^(5*x) + e^(6*x). (End)
MATHEMATICA
Table[3^n + 5^n + 6^n, {n, 0, 20}]
LinearRecurrence[{14, -63, 90}, {3, 14, 70}, 20] (* Harvey P. Dale, Jun 17 2021 *)
PROG
(Magma) [3^n + 5^n + 6^n: n in [0..20]]; // Vincenzo Librandi, May 20 2011
(PARI) a(n)=3^n+5^n+6^n \\ Charles R Greathouse IV, Jun 10 2011
(Python)
def a(n): return 3**n + 5**n + 6**n
print([a(n) for n in range(20)]) # Michael S. Branicky, Mar 14 2021
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
STATUS
approved