A064308 Product of two triangular matrices C*S2.

1, 4, 2, 13, 20, 5, 41, 149, 98, 14, 131, 1022, 1330, 462, 42, 428, 6866, 15768, 9990, 2112, 132, 1429, 46188, 176229, 181170, 66792, 9438, 429, 4861, 313601, 1917960, 3003990, 1717287, 411411, 41470, 1430

Offset

1,2

Comments

This triangular matrix appears in the definition of the row polynomials for triangle A064307.

The first column sequence (m=1) gives A001453(n+1). The main diagonal gives A000108(n+1). Row sums give A064309.

Links

Table of n, a(n) for n=1..36.

Formula

a(n, m)=sum(A009766(n, k)*A008277(k, m), k=m..n), n >= m >= 1 else 0. Product of Catalan triangular matrix (without row n=0 and column m=0) with Stirling2 triangular matrix.

Crossrefs

Sequence in context: A213853 A096034 A193849 * A330314 A255044 A248249

Adjacent sequences: A064305 A064306 A064307 * A064309 A064310 A064311

Keyword

nonn,easy,tabl

Author

Wolfdieter Lang, Sep 13 2001

Status

approved