Page 175 - Fixtures

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. k (n, i)C (n − i, k − i) = 2kC (n,k) ()

∑C
i =0

nk

.

i

n −i k −i C (n, i )

nk , .C(n − i,k − i) ()

k .

∑C (n,i)C (n − i,k − i)

i =0

. n (n, k )C (n, n −k + 1) = C (2n,n + 1)

∑C
k =1

n n +1 . 2n
2n .n
(n −k +1
k C(n,k) C(n,n − k + 1)
.
) .n

2n n + 1

n

∑C (n,k)C (n,n − k + 1)

k =1