OFFSET
0,1
COMMENTS
Continued fraction expansion of (15 + sqrt(365))/10 = A176979. - Klaus Brockhaus, Apr 30 2010
Also decimal expansion of 322/999. - Nicolas Bělohoubek, Nov 11 2021
LINKS
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 878
Index entries for linear recurrences with constant coefficients, signature (0,0,1).
FORMULA
G.f.: (2*x^2 + 2*x + 3)/(1-x^3).
a(n) = Sum((1/3)*(2*alpha^2 + 3*alpha + 2)*alpha^(-1-n), where alpha = RootOf(-1+x^3)).
a(n) = ceiling(7*(n+1)/3) - ceiling(7*n/3). - Tom Edgar, Jul 17 2014
From Nicolas Bělohoubek, Nov 11 2021: (Start)
a(n) = 12/(a(n-2)*a(n-1)).
MAPLE
spec := [S, {S=Union(Sequence(Z), Sequence(Z), Sequence(Prod(Z, Z, Z)))}, unlabeled]: seq(combstruct[count](spec, size=n), n=0..20);
MATHEMATICA
PadRight[{}, 110, {3, 2, 2}] (* Harvey P. Dale, Mar 19 2013 *)
LinearRecurrence[{0, 0, 1}, {3, 2, 2}, 105] (* Ray Chandler, Aug 25 2015 *)
PROG
(Haskell)
a052901 n = a052901_list !! n
a052901_list = cycle [3, 2, 2] -- Reinhard Zumkeller, Apr 08 2012
(PARI) Vec((2*x^2+2*x+3)/(1-x^3)+O(x^99)) \\ Charles R Greathouse IV, Apr 08 2012
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
encyclopedia(AT)pommard.inria.fr, Jan 25 2000
EXTENSIONS
More terms from James A. Sellers, Jun 06 2000
STATUS
approved