Gilligan 's Island!

I just learned that Williams composed some of the incidental music in the first season of Gilligan's Island. I knew he composed for TV in his early days, but never knew about this.
The music was one of the best things about this show, which I grew up watching in reruns in the '70s.
I wish I knew which motifs he composed. There was a tuba line, only about 4 measures, that was always a favorite of mine from that show. I know Williams often includes tuba solos in his works (E.T., Hook), so I've been wondering if that was his work.
Does anyone here know??