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Another interesting property of Pascal's triangle is that in rows where the second number (the 1st number following 1) is prime, all the terms in that row except the 1s are multiples of that prime.
[[Image:Exp_binomial_grey_wiki.png|thumb|frame|
===The matrix exponential===▼
{{see also|Pascal matrix}}▼
Due to its simple construction by factorials, a very basic representation of Pascal's triangle in terms of the [[matrix exponential]] can be given: Pascal's triangle is the exponential of the matrix which has the sequence 1, 2, 3, 4, … on its subdiagonal and zero everywhere else.▼
===Geometric properties===
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In this triangle, the sum of the elements of row ''m'' is equal to 3<sup>''m'' − 1</sup>. Again, to use the elements of row 5 as an example: <math>1 + 8 + 24 + 32 + 16 = 81</math>, which is equal to <math>3^4 = 81</math>.
▲[[Image:Exp_binomial_grey_wiki.png|thumb|frame|right|70px|Binomial matrix as matrix exponential (illustration for 5×5 matrices). All the dots represent 0.]]
▲===The matrix exponential===
▲{{see also|Pascal matrix}}
▲Due to its simple construction by factorials, a very basic representation of Pascal's triangle in terms of the [[matrix exponential]] can be given: Pascal's triangle is the exponential of the matrix which has the sequence 1, 2, 3, 4, … on its subdiagonal and zero everywhere else.
==History==
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