This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A252889 T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 1 and every value increasing by 0 or 1 with every step right, diagonally se or down 2
 0, 1, 1, 2, 1, 2, 3, 8, 8, 3, 4, 16, 18, 16, 4, 5, 24, 94, 94, 24, 5, 6, 32, 190, 386, 190, 32, 6, 7, 40, 290, 1729, 1729, 290, 40, 7, 8, 48, 390, 3577, 12200, 3577, 390, 48, 8, 9, 56, 490, 5600, 51496, 51496, 5600, 490, 56, 9, 10, 64, 590, 7648, 109736, 608993, 109736, 7648 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts .0..1...2.....3......4........5.........6...........7.............8 .1..1...8....16.....24.......32........40..........48............56 .2..8..18....94....190......290.......390.........490...........590 .3.16..94...386...1729.....3577......5600........7648..........9696 .4.24.190..1729..12200....51496....109736......176872........246312 .5.32.290..3577..51496...608993...2526480.....5560676.......9241012 .6.40.390..5600.109736..2526480..49489706...206094186.....468856938 .7.48.490..7648.176872..5560676.206094186..6648891794...28101900201 .8.56.590..9696.246312..9241012.468856938.28101900201.1489334202216 .9.64.690.11744.316008.13153668.803577258.66058900101.6425402265448 LINKS R. H. Hardin, Table of n, a(n) for n = 1..480 FORMULA Empirical for column k: k=1: a(n) = n - 1 k=2: a(n) = 8*n - 16 for n>2 k=3: a(n) = 100*n - 310 for n>4 k=4: a(n) = 2048*n - 8736 for n>6 k=5: a(n) = 69696*n - 380952 for n>8 k=6: a(n) = 3964928*n - 26499968 for n>10 k=7: a(n) = 378224704*n - 2991671254 for n>12 EXAMPLE Some solutions for n=4 k=4 ..0..0..0..1....0..0..0..0....0..0..0..0....0..0..1..1....0..0..1..1 ..1..1..1..1....0..0..0..1....0..0..1..1....0..1..1..2....0..0..1..2 ..1..1..1..1....1..1..1..1....1..1..1..2....1..1..2..2....0..0..1..2 ..1..1..2..2....1..1..1..2....1..1..1..2....2..2..2..2....0..0..1..2 CROSSREFS Sequence in context: A077013 A086880 A120405 * A155004 A176954 A034952 Adjacent sequences:  A252886 A252887 A252888 * A252890 A252891 A252892 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 24 2014 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 May 24 00:38 EDT 2019. Contains 323528 sequences. (Running on oeis4.)