OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
D. Birmajer, J. B. Gil, and M. D. Weiner, On the Enumeration of Restricted Words over a Finite Alphabet, J. Int. Seq. 19 (2016) # 16.1.3. example 10.
Index entries for linear recurrences with constant coefficients, signature (6,0,6).
FORMULA
a(n+3) = 6*a(n+2) + 6*a(n) with n>1, a(0) = 1, a(1) = 6, a(2) = 37.
G.f.: -(x^2+1) / (6*x^3+6*x-1). - Colin Barker, Feb 15 2015
MATHEMATICA
RecurrenceTable[{a[0] == 1, a[1] == 6, a[2]== 37, a[n] == 6 a[n - 1] + 6 a[n - 3]}, a[n], {n, 0, 20}]
LinearRecurrence[{6, 0, 6}, {1, 6, 37}, 30] (* Harvey P. Dale, Nov 06 2017 *)
PROG
(PARI) Vec(-(x^2+1)/(6*x^3+6*x-1) + O(x^100)) \\ Colin Barker, Feb 15 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Milan Janjic, Feb 14 2015
STATUS
approved