Can you explain how you figured out that these were the right generalization of the golden ratio? Were you doing a literature search? Just experimenting?

BTW, in the past couple months I have directed several people who were interested in spiral phyllotaxis and the like at your page. I think your sequences could make for some interesting art projects.

Personally I plan to try them out for dithering, picking well-spaced colors for diagrams, picking points in a region when trying to optimize a map projection, etc.