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 A111843 Matrix log of triangle A111840, which shifts columns left and up under matrix cube; these terms are the result of multiplying each element in row n and column k by (n-k)!. 4
 0, 1, 0, 3, 3, 0, 27, 9, 9, 0, 486, 81, 27, 27, 0, 7776, 1458, 243, 81, 81, 0, -2423196, 23328, 4374, 729, 243, 243, 0, -97338996, -7269588, 69984, 13122, 2187, 729, 729, 0, 5883879500784, -292016988, -21808764, 209952, 39366, 6561, 2187, 2187, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Column k equals 3^k multiplied by column 0 (A111844) when ignoring zeros above the diagonal. LINKS FORMULA T(n, k) = 3^k*T(n-k, 0) = 3^k*A111844(n-k) for n>=k>=0. EXAMPLE Matrix log of A111840, with factorial denominators, begins: 0; 1/1!, 0; 3/2!, 3/1!, 0; 27/3!, 9/2!, 9/1!, 0; 486/4!, 81/3!, 27/2!, 27/1!, 0; 7776/5!, 1458/4!, 243/3!, 81/2!, 81/1!, 0; -2423196/6!, 23328/5!, 4374/4!, 729/3!, 243/2!, 243/1!, 0; PROG (PARI) T(n, k, q=3)=local(A=Mat(1), B); if(n

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