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 A110855 Table T(n,k), n >= 0, k >= 0, product M*M^(T) where M is the lower triangular matrix in A048993 (Stirling2 numbers) and M^(T) denotes the transpose matrix of M, read by antidiagonals. 0
 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 4, 4, 1, 0, 0, 1, 8, 11, 8, 1, 0, 0, 1, 16, 28, 28, 16, 1, 0, 0, 1, 32, 71, 87, 71, 32, 1, 0, 0, 1, 64, 184, 266, 266, 184, 64, 1, 0, 0, 1, 128, 491, 823, 952, 823, 491, 128, 1, 0, 0, 1, 256, 1348, 2598, 3381, 3381 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,13 LINKS EXAMPLE Matrix M:   1, 0, 0, 0, 0, 0, 0, 0, ...   0, 1, 0, 0, 0, 0, 0, 0, ...   0, 1, 1, 0, 0, 0, 0, 0, ...   0, 1, 3, 1, 0, 0, 0, 0, ...   0, 1, 7, 6, 1, 0, 0, 0, ...   ... Matrix M^(T):   1, 0, 0, 0, 0,  0, ...   0, 1, 1, 1, 1,  1, ...   0, 0, 1, 3, 7, 15, ...   0, 0, 0, 1, 6, 25, ...   0, 0, 0, 0, 1, 10, ...   0, 0, 0, 0, 0,  1, ...   ... Table begins:   1, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, ...   0, 1,   1,   1,   1,   1,   1,   1,   1, 1,   0, 1,   2,   4,   8,  16,  32,  64, 128, ...   0, 1,   4,  11,  28,  71, 184, 491, ...   0, 1,   8,  28,  87, 266, 823, ...   0, 1,  16,  71, 266, 952, ...   0, 1,  32, 184, 823, ...   0, 1,  64, 491, ...   0, 1, 128, ...   0, 1, ...   0, ... CROSSREFS Diagonal sums: 1, 0, 1, 2, 4, 10, 29, 90, 295, ... see A000995. Main diagonal: 1, 1, 2, 11, 87, 952, 13513, ... see A047797. Sequence in context: A076837 A055363 A350681 * A054673 A155103 A295819 Adjacent sequences:  A110852 A110853 A110854 * A110856 A110857 A110858 KEYWORD nonn,tabl AUTHOR Philippe Deléham, Sep 17 2005 STATUS approved

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Last modified May 20 13:32 EDT 2022. Contains 353873 sequences. (Running on oeis4.)