Cody

Problem 43754. Lah Numbers

Created by JD in Community

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.

Solution Stats

87.5% Correct | 12.5% Incorrect
Last solution submitted on Feb 14, 2019

Recent Solvers10

Suggested Problems

More from this Author11

Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

MATLAB Academy

New to MATLAB?

Learn MATLAB today!