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 A111848 Matrix log of triangle A111845, which shifts columns left and up under matrix 4th power; these terms are the result of multiplying each element in row n and column k by (n-k)!. 6
 0, 1, 0, 4, 4, 0, 56, 16, 16, 0, 1728, 224, 64, 64, 0, -45696, 6912, 896, 256, 256, 0, -159401472, -182784, 27648, 3584, 1024, 1024, 0, 387212983296, -637605888, -731136, 110592, 14336, 4096, 4096, 0, 14722642769657856, 1548851933184, -2550423552, -2924544, 442368, 57344, 16384, 16384, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Column k equals 4^k multiplied by column 0 (A111849) when ignoring zeros above the diagonal. LINKS FORMULA T(n, k) = 4^k*T(n-k, 0) = 4^k*A111844(n-k) for n>=k>=0. EXAMPLE Matrix log of A111845, with factorial denominators, begins: 0; 1/1!, 0; 4/2!, 4/1!, 0; 56/3!, 16/2!, 16/1!, 0; 1728/4!, 224/3!, 64/2!, 64/1!, 0; -45696/5!, 6912/4!, 896/3!, 256/2!, 256/1!, 0; ... PROG (PARI) L(n, k, q=4)=local(A=Mat(1), B); if(n

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Last modified April 13 17:30 EDT 2021. Contains 342936 sequences. (Running on oeis4.)