Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies F(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.

A100492

Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies F(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.

Terms

    a(0) =1a(1) =-1a(2) =-4a(3) =-3a(4) =10a(5) =49a(6) =95a(7) =83a(8) =27a(9) =-90a(10) =-740a(11) =-2415a(12) =-4110a(13) =-3890a(14) =-1950a(15) =-405a(16) =1320a(17) =14054a(18) =64116a(19) =164059a(20) =258461a(21) =257604a(22) =159070a(23) =55755a(24) =8505a(25) =-23640a(26) =-318684a(27) =-1881532a(28) =-6452300a(29) =-14294605

External references