Pyramid Number Puzzle

Pyramid Number Puzzle Solution - 2 August

The below is a number puzzle. It should be read left to right, top to bottom.
1
1 1
2 1
1 2 1 1
1 1 1 2 2 1
? ? ? ? ? ?
? ? ? ? ? ? ? ?


Question 1: What is the next two rows of numbers?
Question 2: How was this reached?

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Solution


3 1 2 2 1 1
1 3 1 1 2 2 2 1

Line 1 is 'Two ones' (2 1)
Line 2 then becomes 'One two, and one one' (1 2 1 1)
Line 3 therefore is 'One one, one two and two ones' (1 1 1 2 2 1)
Line 4 is 'Three ones, two twos and one one' (3 1 2 2 1 1)
Line 5 is 'One three, one one, two twos and two ones' (1 3 1 1 2 2 1 1)