A104417 Triangle, read by rows, equal to the matrix inverse of A104416, where A104416(n,k) = A008275(k+1,n-k+1) (Stirling numbers of the first kind).

1, 1, 1, 3, 3, 1, 16, 16, 6, 1, 127, 127, 49, 10, 1, 1363, 1363, 531, 115, 15, 1, 18628, 18628, 7286, 1615, 230, 21, 1, 311250, 311250, 121964, 27321, 4040, 413, 28, 1, 6173791, 6173791, 2421471, 545311, 82131, 8841, 686, 36, 1, 142190703, 142190703

Offset: 0

Author

Paul D. Hanna, Mar 06 2005

Keywords

• nonn
• tabl

Comments

Column 0 and column 1 contain A082161.

Examples

			Column 0 forms A082161 that satisfies:
1 = (1-x) + 1*x*(1-x)(1-2x) + 3*x^2*(1-x)(1-2x)(1-3x) +
+ 16*x^3*(1-x)(1-2x)(1-3x)(1-4x) + ...
+ A082161(n+1)*x^n*(1-x)(1-2x)(1-3x)*..*(1-(n+1)*x) + ...
this g.f. can be derived from the matrix inverse, A104416.
Rows begin:
1;
1,1;
3,3,1;
16,16,6,1;
127,127,49,10,1;
1363,1363,531,115,15,1;
18628,18628,7286,1615,230,21,1;
311250,311250,121964,27321,4040,413,28,1; ...
		

Crossrefs

Cf. A104416, A082161.

Programs

PARI