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 A111810 Matrix log of triangle A098539, which shifts columns left and up under matrix square; these terms are the result of multiplying each element in row n and column k by (n-k)!. 3
 0, 1, 0, 2, 2, 0, 10, 4, 4, 0, 88, 20, 8, 8, 0, 1096, 176, 40, 16, 16, 0, 11856, 2192, 352, 80, 32, 32, 0, -402480, 23712, 4384, 704, 160, 64, 64, 0, -1891968, -804960, 47424, 8768, 1408, 320, 128, 128, 0, 36024603264, -3783936, -1609920, 94848, 17536, 2816, 640, 256, 256, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Column k equals 2^k times column 0 (A111811) when ignoring zeros above the diagonal. LINKS FORMULA T(n, k) = 2^k*T(n-k, 0) = 2^k*A111811(n-k) for n>=k>=0. EXAMPLE Matrix log of A098539, with factorial denominators, begins: 0; 1/1!, 0; 2/2!, 2/1!, 0; 10/3!, 4/2!, 4/1!, 0; 88/4!, 20/3!, 8/2!, 8/1!, 0; 1096/5!, 176/4!, 40/3!, 16/2!, 16/1!, 0; 11856/6!, 2192/5!, 352/4!, 80/3!, 32/2!, 32/1!, 0; ... PROG (PARI) T(n, k, q=2)=local(A=Mat(1), B); if(n

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Last modified May 7 00:47 EDT 2021. Contains 343613 sequences. (Running on oeis4.)