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stirling2

stirling2(2,3);

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stirling2

stirling2(10,10);

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stirling2

stirling2(30,2);

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stirling2

stirling2(2,2);

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stirling2

stirling2(1000,4) ;

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stirling2

stirling2(10,3);

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stirling2

stirling2 (10, 2);

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stirling2

stirling2(50,4);

Calculate

stirling2

stirling2(1001,4);

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stirling2

stirling2(6,5);

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stirling2

Run Example
(%i1)stirling2(50,4);
(%o1)                    52818655359845224561907882505
(%i2) 
Run Example
T(n, m):=(sum(binomial(k+m, m)*((-1)^(n-k-m)+1)*sum(binomial(j+k+m, k+m)*(j+k+m+1)!*2^(-j-k-1)*(-1)^((n+k+m)/2+j+k+m)*stirling2(n+1, j+k+m+1), j, 0, n-k-m), k, 0, n-m))/(m+1)!;
                                              n - k - m
(%o1) T(n, m) := sum(binomial(k + m, m) ((- 1)          + 1)
                                                  - j - k - 1
 sum(binomial(j + k + m, k + m) (j + k + m + 1)! 2
      n + k + m
      --------- + j + k + m
          2
 (- 1)                      stirling2(n + 1, j + k + m + 1), j, 0, n - k - m), 
k, 0, n - m)/(m + 1)!
(%i2) 
Run Example
stirling2(30,2);
(%o1)                              536870911
(%i2) 

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