In One Sequence Or Another (Non-Fibonacci)

Ralf Stephan ralf at
Fri Mar 26 09:42:51 CET 2004

Do not forget the evil and odious numbers, complement of each other.
But you won't like their g.f.s:

A001969 G.f.: sum[k>=0, t(3+2t+3t^2)/(1-t^2)^2 * prod(l=0,k-1,1-t^(2^l)),
A000069 G.f.: 1+sum[k>=0, t(2+2t+5t^2-t^4)/(1-t^2)^2 * prod(l=0,k-1,1-t^(2^l)), t=x^2^k].

Good luck!

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