Problem 43754. Lah Numbers
Create a square lower diagonal matrix containing the first n Lah number coefficients. In mathematics, the Lah numbers are coefficients expressing rising factorials in terms of falling factorials. For example, for n=8, the matrix of Lah numbers would be:
1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 6 6 1 0 0 0 0 0 0 0 0 24 36 12 1 0 0 0 0 0 0 0 120 240 120 20 1 0 0 0 0 0 0 720 1800 1200 300 30 1 0 0 0 0 0 5040 15120 12600 4200 630 42 1 0 0 0 0 40320 141120 141120 58800 11760 1176 56 1 0 0 0 362880 1451520 1693440 846720 211680 28224 2016 72 1 0 0
See Lah Number for more information.
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