Table (read by rows) giving the coefficients of sum formulas of n-th Lucas numbers (A000204). 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 L(n) = Sum_{i=1..k} T(i,k) * n^(k-i) / (k-1)!.
A101032
Table (read by rows) giving the coefficients of sum formulas of n-th Lucas numbers (A000204). 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 L(n) = Sum_{i=1..k} T(i,k) * n^(k-i) / (k-1)!.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-1a(5) =2a(6) =1a(7) =-6a(8) =17a(9) =6a(10) =1a(11) =-14a(12) =83a(13) =-142a(14) =24a(15) =1a(16) =-25a(17) =265a(18) =-1235a(19) =2314a(20) =120a(21) =1a(22) =-39a(23) =655a(24) =-5565a(25) =24184a(26) =-41556a(27) =720a(28) =1a(29) =-56
External references
- oeis: A101032