q-Pascal Triangle
q-Pascal Triangle
The -binomial coefficients are integers for integers and . They satisfy the two recurrence equations:
q
n |
m |
q
q
0≤m≤n
n |
m |
q
n-m
q
n-1 |
m-1 |
q
n-1 |
m |
q
n |
m |
q
m
q
n-1 |
m |
q
n-1 |
m-1 |
q