Search: id:A120526 Results 1-1 of 1 results found. %I A120526 %S A120526 1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,1, %T A120526 1,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0, %U A120526 1,1,1,0,1 %N A120526 First differences of successive generalized meta-Fibonacci numbers A120504. %H A120526 C. Deugau and F. Ruskey, Complete k-ary Trees and Generalized Meta-Fibonacci Sequences, J. Integer Seq., Vol. 12. [This is a later version than that in the GenMetaFib.html link] %H A120526 C. Deugau and F. Ruskey, Complete k-ary Trees and Generalized Meta-Fibonacci Sequences %F A120526 d(n) = 0 if node n is an inner node, or 1 if node n is a leaf. %F A120526 g.f.: z (1 + z^2 ( (1 - z^(2 * [1])) / (1 - z^[1]) + z^4 * (1 - z^(3 * [i]))/(1 - z^[1]) ( (1 - z^(2 * [2])) / (1 - z^[2]) + z^10 * (1 - z^(3 * [2]))/(1 - z^[2]) (..., where [i] = (3^i - 1) / 2. %F A120526 g.f.: D(z) = (1 - z) * z * sum(prod(z * (1 - z^(3 * [i])) / (1 - z^[i]), i=1..n), n=0..infinity), where [i] = (3^i - 1) / 2. %p A120526 d := n -> if n=1 then 1 else A120504(n)-A120504(n-1) fi; %Y A120526 Cf. A120504, A120515. %Y A120526 Sequence in context: A108882 A070829 A118175 this_sequence A086694 A093317 A127253 %Y A120526 Adjacent sequences: A120523 A120524 A120525 this_sequence A120527 A120528 A120529 %K A120526 nonn %O A120526 1,1 %A A120526 Frank Ruskey (http://www.cs.uvic.ca/~ruskey/) and Chris Deugau (deugaucj(AT)uvic.ca), Jun 20 2006 Search completed in 0.001 seconds