[seqfan] Re: A connection between the Thue-Morse sequence A010060 and A000123

Don Reble djr at nk.ca
Fri Nov 11 12:37:46 CET 2016


> Consider a power series f(x) = Sum_{n>=0} (-1)^A010060(n) * x^n = 1 - x -
> x^2 + x^3 - x^4 + x^5 + x^6 - x^7 - x^8 + ...
> 1/f(x) = 1 + x + 2*x^2 + 2*x^3 +
> 4*x^4 + 4*x^5 + 6*x^6 + 6*x^7 + 10*x^8 + 10*x^9 + ...
> bisection ... possible match A000123 ... Is it indeed that sequence?

    Look here:

> %H A000123 Joerg Arndt, http://www.jjj.de/fxt/#fxtbook
>            Matters Computational (The Fxtbook), p. 728

-- 
Don Reble  djr at nk.ca




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