@ @pbjïØ Üa@ @QSX
[Diagonal-Sum of Pascal Triangle] .
.
[Southeast Diagonal]
.
(n = 2) (k = 0)
n C(n, 0) C(n,1) C(n, 2) C(n, 3) C(n, 4)
21
33
46
5 10
6 15
7 35
1 + 3 + 6 + 10 + 15 = 35 .(k = 4)
(n = 7)
:
r n +1
)n r +n +1 0
.(
. n + k,k) = C (r + n + 1, n )
∑ C (r
k=0
: