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 A111815 Matrix log of triangle A078122, 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)!. 8
 0, 1, 0, -1, 3, 0, -3, -3, 9, 0, 150, -9, -9, 27, 0, 1236, 450, -27, -27, 81, 0, -2555748, 3708, 1350, -81, -81, 243, 0, -64342116, -7667244, 11124, 4050, -243, -243, 729, 0, 5885700899760, -193026348, -23001732, 33372, 12150, -729, -729, 2187, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Column k equals 3^k multiplied by column 0 (A111816) when ignoring zeros above the diagonal. LINKS FORMULA T(n, k) = 3^k*T(n-k, 0) = A111816(n-k) for n>=k>=0. EXAMPLE Matrix log of A078122, with factorial denominators, begins: 0; 1/1!, 0; -1/2!, 3/1!, 0; -3/3!, -3/2!, 9/1!, 0; 150/4!, -9/3!, -9/2!, 27/1!, 0; 1236/5!, 450/4!, -27/3!, -27/2!, 81/1!, 0; -2555748/6!, 3708/5!, 1350/4!, -81/3!, -81/2!, 243/1!, 0; ... PROG (PARI) T(n, k, q=3)=local(A=Mat(1), B); if(n

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Last modified January 23 13:57 EST 2022. Contains 350511 sequences. (Running on oeis4.)