A055135 Matrix inverse of triangle A055134.

1, 0, 1, -1, -2, 1, -2, 0, -6, 1, -3, 0, 18, -12, 1, -4, 0, -40, 80, -20, 1, -5, 0, 75, -400, 225, -30, 1, -6, 0, -126, 1680, -1890, 504, -42, 1, -7, 0, 196, -6272, 13230, -6272, 980, -56, 1, -8, 0, -288, 21504, -81648, 64512, -16800, 1728, -72, 1, -9, 0, 405

Offset: 0

Author

Christian G. Bower, Apr 25 2000

Keywords

• sign
• tabl

Examples

			1;
0,1;
-1,-2,1;
-2,0,-6,1;
-3,0,18,-12,1;
...
		

Crossrefs

Cf. A055136.

Programs

Mathematica

rows = 12; row[n_] := Join[CoefficientList[(x+n-1)^n + O[x]^(n+1), x], Table[0, {rows-n-1}]]; M = Inverse[Table[row[n], {n, 0, rows-1}]]; Table[ M[[n+1, k+1]], {n, 0, rows-1}, {k, 0, n}] // Flatten (* Jean-François Alcover, Apr 14 2017 *)