The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 30 08:19 EST 2021. Contains 349419 sequences. (Running on oeis4.)