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

0,2

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.

Links

Table of n, a(n) for n=0..43.

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).

Example

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

Crossrefs

Sequence in context: A155734 A128162 A257253 * A170860 A170845 A025238

Adjacent sequences: A067326 A067327 A067328 * A067330 A067331 A067332

Keyword

nonn,tabl

Author

Wolfdieter Lang, Feb 05 2002

Status

approved