
COMMENTS

The minimal path in the 4convoluted tree is A083954 and the maximal path is A132837.
Equals the number of nodes at generation n in the 4convoluted tree, which is defined as follows: tree of all finite sequences {c(k), k=0..n} that form the initial terms of a selfconvolution 4th power of some integer sequence such that 0 < c(n) <= 4*c(n1) for n>0 with a(0)=1.  Paul D. Hanna, Oct 06 2007


EXAMPLE

a(n) counts the nodes in generation n of the following tree.
Generations 0..3 of the 4convoluted tree are as follows;
The path from the root is shown, with child nodes enclosed in [].
GEN.0: [1];
GEN.1: 1>[4];
GEN.2: 14>[2,6,10,14];
GEN.3:
142>[4,8]
146>[4,8,12,16,20,24]
1410>[4,8,12,16,20,24,28,32,36,40]
1414>[4,8,12,16,20,24,28,32,36,40,44,48,52,56].
Each path in the tree from the root node forms the initial terms of a selfconvolution 4th power of a sequence of integer terms.
