Practical empirical mathematics
Difference tables and polynomials
Implementation [of repetitive array]
Implementation [of finite automata for nested patterns]
[Patterns from] arbitrary digit operations
Generating functions [for nested patterns]
Standard mathematical functions
[Generating functions for] 1D sequences
Multidimensional additive rules
Continuous generalizations [of additive rules]
[Algebraic computation of] additive cellular automata
The more general case [of computation speed ups]
Cellular automaton [Boolean] formulas
Cellular automaton [Nand] formulas