A104560 Matrix inverse of triangle A104559, read by rows.

1, -1, 1, 1, -2, 1, -2, 5, -4, 1, 6, -16, 15, -6, 1, -30, 81, -79, 36, -9, 1, 204, -552, 543, -256, 72, -12, 1, -1944, 5262, -5184, 2461, -712, 132, -16, 1, 23340, -63180, 62260, -29596, 8615, -1640, 220, -20, 1, -360060, 974670, -960520, 456700, -133091, 25475, -3500, 350, -25, 1, 6692280, -18115800

Offset: 0

Author

Paul D. Hanna, Mar 16 2005

Keywords

• sign
• tabl

Comments

Column 0 is A104561.

Examples

			Triangle begins:
1;
-1,1;
1,-2,1;
-2,5,-4,1;
6,-16,15,-6,1;
-30,81,-79,36,-9,1;
204,-552,543,-256,72,-12,1;
-1944,5262,-5184,2461,-712,132,-16,1;
23340,-63180,62260,-29596,8615,-1640,220,-20,1;
-360060,974670,-960520,456700,-133091,25475,-3500,350,-25,1; ...
		

Crossrefs

Cf. A104559, A104561.

Programs

PARI

{T(n,k)=local(M);M=matrix(n+1,n+1,m,j,if(m>=j, binomial(m-1-(j-1)\2,j\2)*binomial(m-1-j\2,(j-1)\2))); return((M^-1)[n+1,k+1])}