Totem Poles!

In the land of Mathematica, a remote tribe made totem poles out of square-heads and big-heads (which were twice as tall as square heads). The square-heads were made of pine, whereas the big-heads were made of ash or birch. The heads were stacked upright to form these totem poles.

Find the number of different totem poles of height 11 (that is, equivalent to 11 square-heads) that were possible.

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