I don't think you have a complete statement of the problem. Why, in the first example, are arrangements like 1 1 2 excluded? And you only accept the arrangements in a particular order. How do you define the order?
the data ascended by column,when the first column is the same, sort by the second column,...
Thanks - and I realize now that 1 1 2 is not excluded; I just wasn't looking carefully.
The best way to generate such a sequence is using depth-first search or recursion. By prohibiting the usage of IFs, all solutions are inefficient (because we can't cut the tree, and are forced to follow all branches).
Finding Perfect Squares
Encode Roman Numerals
letter yes yes & letter no no
Rounding off numbers to n decimals
Tick. Tock. Tick. Tock. Tick. Tock. Tick. Tock. Tick. Tock.
Find the right number make the equation
Make an anonymous function that has variable output
Determine if input is a Narcissistic number
Big Integer Sqrt
Return fibonacci sequence do not use loop and condition
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