All the positive pentagonal numbers and hexagonal numbers are now considered alternately in order, that is:
P(1), H(2), P(3), H(4), P(5), H(6),.....
Writing these without commas or spaces results in this infinite string:
161228356670120117190......
Determine the 2022th digit in the above pattern. What is the 20220th digit in the above pattern?*** P(N)= N(3N-1)/2, and, H(N) = N(2N-1), so that:
P(1)=1, H(2)= 6, P(3)= 12, H(4) = 28, P(5) = 35, H(6) = 66, ..... and so on
