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).
Summing Digits within Text
Counting in Finnish
Project Euler: Problem 7, Nth prime
Scoring for oriented dominoes
Sum of first n terms of a harmonic progression
Solve Sudoku puzzle step by
Determine if input is a perfect number
Compute the intersect point of line and plan
Determine if input is a Narcissistic number
Seperate array to small section according to its index position
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