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 A087783 Array T(n,k) (n >= 1, k >= 1) read by antidiagonals, giving number of ways of arranging the numbers 1 ... mn into an m X n array so there is exactly one local maximum. 13
 1, 2, 2, 4, 16, 4, 8, 208, 208, 8, 16, 3584, 29568, 3584, 16, 32, 76544, 7452704, 7452704, 76544, 32, 64, 1947648, 2941306368, 35704394880, 2941306368, 1947648, 64, 128, 57477120, 1683453629440, 331333877743200, 331333877743200, 1683453629440, 57477120, 128, 256, 1929117696, 1323082429842432, 5338455334819710720, 88366736882654697600, 5338455334819710720, 1323082429842432, 1929117696, 256, 512, 72545402880, 1370418864769445888, 137813651152462288749440 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA T(n, k) = T(k, n). T(n, 1) = 2^(n-1) (see A000079). EXAMPLE Array begins: 1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,... 2,16,208,3584,76544,1947648,57477120,1929117696... 4,208,29568,7452704,2941306368,1683453629440... 8,3584,7452704,35704394880,331333877743200,... 16,76544,2941306368,331333877743200,... CROSSREFS Cf. A000079 (k = 1 or n = 1), A087518 (n=k). A087923-A087932 give rows 2 through 11. Cf. A007846. Sequence in context: A122598 A279069 A257609 * A176190 A106241 A153991 Adjacent sequences:  A087780 A087781 A087782 * A087784 A087785 A087786 KEYWORD nonn,tabl,nice AUTHOR R. H. Hardin, Oct 25 2003 STATUS approved

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Last modified August 11 02:50 EDT 2020. Contains 336418 sequences. (Running on oeis4.)