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

0,5

Links

Table of n, a(n) for n=0..57.

Example

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

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 *)

Crossrefs

Cf. A055136.

Sequence in context: A212215 A182270 A246272 * A334873 A327359 A197522

Adjacent sequences: A055132 A055133 A055134 * A055136 A055137 A055138

Keyword

sign,tabl

Author

Christian G. Bower, Apr 25 2000

Status

approved