It is possible to construct simple functions which produce growing patterns. For example, the Baxter-Hickerson function
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produces the sequence of numbers 64037, 6634003367, 666334000333667, ....
Number Pattern
See also
Baxter-Hickerson Function, Number PyramidExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Number Pattern." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NumberPattern.html