Prompt

Generate an image representing a doubly exponential growth pattern, featuring a large lattice structure in the background with 2^2, 2^3, 2^6, 2^20, 2^168, 2^7581, 2^7828354 and 2^2414682040998 subsets of a Boolean lattice for an n-element set with antichains, symbolizing the Dedekind numbers, and include mathematical expressions and diagrams illustrating monotonic Boolean functions.

Image by stabilityai/stable-diffusion-3.5-large-turbo