Page 174 - Fixtures

@ @QUY@ @æa@paˆ@pþàbÉà@ @

.C(n, 0), C(n,1), C(n,2), , C(n,n)
.C(n,k + 2) ,C(n,k + 1) ,C(n,k)
,
:

. C (n,k + 1) = 4 C (n,k) = 3
C (n, k + 1) 4
C (n,k + 2) 5

. k +2 = 4 k +1 = 3 :
n −k 4
n −k −1 5 n = 62 62

.k = 26 ()

.C(62,28) ,C(62,27) ,C(62,26)

n

∑ iC (i − 1,k − 1)

. i=k

C (n, k )

.iC(i − 1,k − 1) = kC(i,k)

n

∑ ∑n
iC (i − 1,k − 1) = i = kC (i,k)

i =k

i=k C (n,k) C (n,k)

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

∑C (i,k)
i=k

n

. ∑ kC(i,k) = kC (n + 1, k + 1) = k(n + 1) ,

i =k

C (n,k) C (n,k) (k + 1)