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 A111833 Matrix log of triangle A111830, which shifts columns left and up under matrix 7th power; these terms are the result of multiplying each element in row n and column k by (n-k)!. 8
 0, 1, 0, -5, 7, 0, 83, -35, 49, 0, 16110, 581, -245, 343, 0, -40097784, 112770, 4067, -1715, 2401, 0, -388036363380, -280684488, 789390, 28469, -12005, 16807, 0, 82804198261002036, -2716254543660, -1964791416, 5525730, 199283, -84035, 117649, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Column k equals 7^k multiplied by column 0 (A111834) when ignoring zeros above the diagonal. LINKS FORMULA T(n, k) = 7^k*T(n-k, 0) = A111834(n-k) for n>=k>=0. EXAMPLE Matrix log of A111830, with factorial denominators, begins: 0; 1/1!, 0; -5/2!, 7/1!, 0; 83/3!, -35/2!, 49/1!, 0; 16110/4!, 581/3!, -245/2!, 343/1!, 0; -40097784/5!, 112770/4!, 4067/3!, -1715/2!, 2401/1!, 0; ... PROG (PARI) T(n, k, q=7)=local(A=Mat(1), B); if(n

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Last modified January 20 03:25 EST 2022. Contains 350467 sequences. (Running on oeis4.)