Table read by rows giving the coefficients of general sum formulas of n-th sums of Bell numbers (A005001). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k and k=1 to n-3, where T(i,k) satisfies Sum_{q=1..n} Bell(q) = 1 + C(n,2) + Sum_{k=1..n-3} Sum_{i=1..2*k} T(i,k) * C(n-k-2,1).

A102735

Table read by rows giving the coefficients of general sum formulas of n-th sums of Bell numbers (A005001). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k and k=1 to n-3, where T(i,k) satisfies Sum_{q=1..n} Bell(q) = 1 + C(n,2) + Sum_{k=1..n-3} Sum_{i=1..2*k} T(i,k) * C(n-k-2,1).

Terms

    a(0) =2a(1) =1a(2) =8a(3) =13a(4) =10a(5) =3a(6) =22a(7) =74a(8) =134a(9) =134a(10) =70a(11) =15a(12) =52a(13) =314a(14) =1024a(15) =1964a(16) =2296a(17) =1615a(18) =630a(19) =105a(20) =114a(21) =1155a(22) =6084a(23) =18954a(24) =37512a(25) =48677a(26) =41426a(27) =22330a(28) =6930a(29) =945

External references