Pea pattern

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A pea pattern is a mathematical pattern that, when following certain steps, will yield an finite or near-finite string of patterned numbers.

The first-ever pea pattern made goes as such:

A number is first named, such as 1, and the next number is derived by how many of each digit is named in the number. There is one digit in 1, and there are 1 of that number, so the next number is 11. There are two 1's in 11, thus the next number in the series is 21. There is 1 2 and 1 1 in 21, so the number after that is 1211.

1, 11, 21, 1211 3112 132112 311322 232122 421311 14123113 41141223 24312213 32666321

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23322114 32232114

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The second pea pattern is somewhat unique in that it goes backwards, beginning with a large number and going back down to a one-digit number. One could begin with a number such as 54739120829. The adjacent numbers are subtracted from one another, as such:

54739120829
 1346812867
  212271621
   11056541
    0151113
     144002
      30402
       3442
        102
         12
          1

Using this method the numbers will usually retract to 1.