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Pentagonal and Hexagonal Poser (Posted on 2022-03-10) Difficulty: 3 of 5
Let us define P(N) as the Nth Pentagonal number and H(N) as the Nth Hexagonal number.
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

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectLazaro2023-07-19 02:36:15
No SubjectK Sengupta2022-05-02 23:50:28
re: computer solutionkillersmile2022-05-02 21:31:20
Solutioncomputer solutionCharlie2022-03-10 09:22:40
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