OFFSET
0,1
COMMENTS
Extended to a(0)-a(2) using the recurrence.
LINKS
Eric Weisstein's World of Mathematics, Dominating Set
Eric Weisstein's World of Mathematics, Web Graph
Index entries for linear recurrences with constant coefficients, signature (5,3,9).
FORMULA
G.f.: (-3 + 10*x + 3*x^2)/(-1 + 5*x + 3*x^2 + 9*x^3).
a(n) = 5*a(n-1) + 3*a(n-2) + 9*a(n-3).
MATHEMATICA
LinearRecurrence[{5, 3, 9}, {5, 31, 197}, {0, 20}]
Table[RootSum[-9 - 3 # - 5 #^2 + #^3 &, #^n &], {n, 0, 20}]
CoefficientList[Series[(-3 + 10 x + 3 x^2)/(-1 + 5 x + 3 x^2 + 9 x^3), {x, 0, 20}], x] (* Eric W. Weisstein, Apr 17 2018 *)
PROG
(PARI) polsym(-9 - 3*x - 5*x^2 + x^3, 25) \\ Joerg Arndt, May 26 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Eric W. Weisstein, May 25 2017
STATUS
approved