A127755 Inverse of number triangle A(n,k) = 1/n! if k <= n <= 2k, 0 otherwise.
1, 0, 1, 0, -1, 2, 0, 1, -2, 6, 0, 0, 0, -6, 24, 0, -1, 2, 0, -24, 120, 0, 0, 0, 0, 0, -120, 720, 0, 1, -2, 6, 0, 0, -720, 5040, 0, 0, 0, 0, 0, 0, 0, -5040, 40320, 0, 0, 0, -6, 24, 0, 0, 0, -40320, 362880, 0, 0, 0, 0, 0, 0, 0, 0, 0
Offset: 0
Examples
Triangle begins 1; 0, 1; 0, -1, 2; 0, 1, -2, 6; 0, 0, 0, -6, 24; 0, -1, 2, 0, -24, 120; 0, 0, 0, 0, 0, -120, 720; 0, 1, -2, 6, 0, 0, -720, 5040; 0, 0, 0, 0, 0, 0, 0, -5040, 40320; 0, 0, 0, -6, 24, 0, 0, 0, -40320, 362880; 0, 0, 0, 0, 0, 0, 0, 0, 0, -362880, 3628800; 0, -1, 2, 0, -24, 120, 0, 0, 0, 0, -3628800, 39916800; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -39916800, 479001600; Inverse of triangle begins 1; 0, 1; 0, 1/2, 1/2; 0, 0, 1/6, 1/6; 0, 0, 1/24, 1/24, 1/24; 0, 0, 0, 1/120, 1/120, 1/120; 0, 0, 0, 1/720, 1/720, 1/720, 1/720; 0, 0, 0, 0, 1/5040, 1/5040, 1/5040, 1/5040; 0, 0, 0, 0, 1/40320, 1/40320, 1/40320, 1/40320, 1/40320; 0, 0, 0, 0, 0, 1/362880, 1/362880, 1/362880, 1/362880, 1/362880; 0, 0, 0, 0, 0, 1/3628800, 1/3628800, 1/3628800, 1/3628800, 1/3628800, 1/3628800;
Comments