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Product of two triangular matrices C*S2.
2

%I #3 Mar 31 2012 13:20:06

%S 1,4,2,13,20,5,41,149,98,14,131,1022,1330,462,42,428,6866,15768,9990,

%T 2112,132,1429,46188,176229,181170,66792,9438,429,4861,313601,1917960,

%U 3003990,1717287,411411,41470,1430

%N Product of two triangular matrices C*S2.

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

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

%F 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.

%K nonn,easy,tabl

%O 1,2

%A _Wolfdieter Lang_, Sep 13 2001