Continue the sequence

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I'm stack at that question as I'm not sure which law does the sequence obey

What number comes next in this series: 1 11 21 1211 111221 312211 13112221:

  • 12113331
  • 1113213211
  • 13221113
  • 113211321
2

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0
On

The online encyclopedia of integer sequences (OEIS) can identify this sequence and much more. This is a mathematician's go-to resource for identifying sequences.

This particular sequence was invented by John Conway and has many interesting and surprisingly intricate properties, which you can read about here.

4
On

74.

or 513399018462776172772637.

or any other number.

The problem with these types of questions is that they hope you understand what rule they are trying to show without you understanding any of the other Turing machines producing a sequence with the exact same start. "Outside the box thinking" is exactly what this discourages.

No math question should ever be based on hope.

There are some interesting sequences that start that way. Studying them is certainly interesting. Guessing them is not so interesting.