This table shows the coefficients of sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2*n+1+(-1)^(n-1)]/4 and T(i,k) satisfies F(n)= Sum_{i=1..k} T(i,k) * n^(k-i)/(k-1)!.
A099731
This table shows the coefficients of sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2*n+1+(-1)^(n-1)]/4 and T(i,k) satisfies F(n)= Sum_{i=1..k} T(i,k) * n^(k-i)/(k-1)!.
Terms
- a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =-5a(5) =10a(6) =1a(7) =-12a(8) =59a(9) =-90a(10) =1a(11) =-22a(12) =203a(13) =-830a(14) =1320a(15) =1a(16) =-35a(17) =525a(18) =-3985a(19) =15374a(20) =-23640a(21) =1a(22) =-51a(23) =1135a(24) =-13665a(25) =93544a(26) =-342324a(27) =523440a(28) =1a(29) =-70
External references
- oeis: A099731