A067329 Triangle of coefficients of polynomials used for g.f.s of columns of A067304.

1, 3, 1, 3, 10, 3, 3, 10, 12, 3, 21, 70, 93, 60, 12, 48, 160, 219, 165, 72, 12, 507, 1690, 2343, 1872, 996, 336, 48, 1461, 4870, 6798, 5595, 3252, 1380, 384, 48, 17841, 59470, 83361, 69828, 42636, 20256, 7248, 1728

Offset: 0

Author

Wolfdieter Lang, Feb 05 2002

Keywords

• nonn
• tabl

Comments

The row polynomials p(n,y) := sum(a(n,m)y^m,m=0..n), n>=1, appear in the g.f.s for the n-th column of triangle A067304.

Examples

			{1}; {3,1}; {3,10,3}; {3,3,10,12}; ...
		

Formula

a(n, m)=[y^m](p(n, y)), n>=m>=1, a(0, 0)=1, else 0, where p(k, y) is, for k>=1, defined by the g.f. of the k-th column of triangle A067304(n, k).