The following rules are used to construct Lacsap's triangle:
- Lacsap's triangle is a triangular array of numbers.
- There are entries in the th row. The entries are staggered relative to the previous row, similar to Pascal's triangle.
- The first and last entries in each row are 2.
- Each entry is equal to the product of the numbers above it to the left and to the right. If no entry is written, treat it as 1 (the multiplicative identity).
How many times does the value appear in Lacsap's triangle?
Details and assumptions
Using the rules, the first few rows are