Problem 52936. Easy Sequences 39: Perfect Squares in Pascal's Triangle

Ramon Villamangca

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Consider the 2nd, 3rd and 4th diagonals of the Pascal's Triangle, shown highlighted below:
                                                        
We can see that on the 2nd, 3rd, 4th, 5th and 10th rows, the highlighted diagonals contains at least one perfect square elements:
2nd Diagonal:    
3rd Diagonal:    
4th Diagonal:    
Given a row limit r, write a function that outputs a set of row numbers , in which the 2nd, 3rd and 4th diagonals of the pascal's triangle contains at least one perfect square elements.
In the case above where , the function should return .

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27 Solutions

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Last Solution submitted on Mar 29, 2026

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2 Comments

Tim on 13 Oct 2021

Test case 5 seems to be missing solutions 1683 and 57123, and test cases 6 and 7 seem to be missing those plus 1940451 and 65918163.

Ramon Villamangca on 14 Oct 2021

HI Tim, Corrected it. Thanks.

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