Page 153 - Fixtures
P. 153

@ @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

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