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EXAMPLE
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a(n) counts the nodes in generation n of the following tree.
Generations 0..4 of the 3-convoluted tree are as follows;
The path from the root is shown, with child nodes enclosed in [].
GEN.0: [1];
GEN.1: 1->[3];
GEN.2: 1-3->[3,6,9];
GEN.3:
1-3-3->[1,4,7]
1-3-6->[1,4,7,10,13,16]
1-3-9->[1,4,7,10,13,16,19,22,25];
GEN.4:
1-3-3-1->[3]
1-3-3-4->[3,6,9,12]
1-3-3-7->[3,6,9,12,15,18,21]
1-3-6-1->[3]
1-3-6-4->[3,6,9,12]
1-3-6-7->[3,6,9,12,15,18,21]
1-3-6-10->[3,6,9,12,15,18,21,24,27,30]
1-3-6-13->[3,6,9,12,15,18,21,24,27,30,33,36,39]
1-3-6-16->[3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48]
1-3-9-1->[3]
1-3-9-4->[3,6,9,12]
1-3-9-7->[3,6,9,12,15,18,21]
1-3-9-10->[3,6,9,12,15,18,21,24,27,30]
1-3-9-13->[3,6,9,12,15,18,21,24,27,30,33,36,39]
1-3-9-16->[3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48]
1-3-9-19->[3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57]
1-3-9-22->[3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66 ]
1-3-9-25->[3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75].
Each path in the tree from the root node forms the initial terms of
a self-convolution cube of a sequence of integer terms.
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