Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
Simon Plouffe, <a href="https://arxiv.org/ftp/arxiv/papers/0911abs/0911.4975.pdf">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992.
Simon Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articlesA000051/FonctionsGeneratricesa000051_2.pdf">1031 Generating Functions and Conjectures</a>, Université du Québec à Montréal, Appendix to Thesis, Montreal, 1992.
Simon Plouffe, <a href="httphttps://www.lacim.uqamarxiv.caorg/ftp/arxiv%7Eplouffepapers/articles0911/MasterThesis0911.4975.pdf">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992.
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L. Carlitz and R. Scoville, Zero-one sequences and Fibonacci numbers, Fib. Quart., 15 (1977), 246-254.
L. Carlitz and R. Scoville, <a href="http://www.fq.math.ca/Scanned/15-3/carlitz1.pdf">Zero-one sequences and Fibonacci numbers</a>, Fibonacci Quarterly, 15 (1977), 246-254.
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G.f. has denominator (1 - x - x^2)^5.
A006493:=(1-2*z+2*z**2)*(z-1)**3/(z**2+z-1)**5; [Conjectured # 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
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