OFFSET
3,3
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
L. Carlitz and R. Scoville, Zero-one sequences and Fibonacci numbers, Fibonacci Quarterly, 15 (1977), 246-254.
Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992
FORMULA
G.f. has denominator (1 - x - x^2)^5.
MAPLE
A006493:=(1-2*z+2*z**2)*(z-1)**3/(z**2+z-1)**5; # conjectured by Simon Plouffe in his 1992 dissertation
a:= n-> (Matrix([[7, 6, 0, 1, 0$4, -2, 18]]). Matrix(10, (i, j)-> if (i=j-1) then 1 elif j=1 then [5, -5, -10, 15, 11, -15, -10, 5, 5, 1][i] else 0 fi)^n)[1, 7]: seq (a(n), n=3..36); # Alois P. Heinz, Aug 26 2008
MATHEMATICA
CoefficientList[(1-x)^3*(1-2*x+2*x^2)/(1-x-x^2)^5 + O[x]^40, x] (* Jean-François Alcover, May 29 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved