Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies L(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.
A101033
Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies L(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) =-2a(3) =-3a(4) =2a(5) =15a(6) =51a(7) =65a(8) =27a(9) =6a(10) =-148a(11) =-945a(12) =-2292a(13) =-2776a(14) =-1680a(15) =-405a(16) =24a(17) =2290a(18) =19580a(19) =71965a(20) =145525a(21) =175244a(22) =125950a(23) =50085a(24) =8505a(25) =120a(26) =-41676a(27) =-473072a(28) =-2340400a(29) =-6676835
External references
- oeis: A101033