%I A087783
%S A087783 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,
%T A087783 128,57477120,1683453629440,331333877743200,331333877743200,1683453629440,
               57477120,128,256,1929117696,1323082429842432,5338455334819710720,
%U A087783 88366736882654697600,5338455334819710720,1323082429842432,1929117696,
               256,512,72545402880,1370418864769445888,137813651152462288749440
%N 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.
%F A087783 T(n, k) = T(k, n). T(n, 1) = 2^(n-1) (see A000079).
%e A087783 Array begins:
%e A087783 1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,...
%e A087783 2,16,208,3584,76544,1947648,57477120,1929117696...
%e A087783 4,208,29568,7452704,2941306368,1683453629440...
%e A087783 8,3584,7452704,35704394880,331333877743200,...
%e A087783 16,76544,2941306368,331333877743200,...
%Y A087783 Cf. A000079 (k = 1 or n = 1), A087518 (n=k). A087923-A087932 give rows 
               2 through 11. Cf. A007846.
%Y A087783 Sequence in context: A153965 A121221 A122598 this_sequence A106241 A153991 
               A153994
%Y A087783 Adjacent sequences: A087780 A087781 A087782 this_sequence A087784 A087785 
               A087786
%K A087783 nonn,tabl,nice
%O A087783 1,2
%A A087783 Ron Hardin (rhhardin(AT)att.net), Oct 25 2003