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A201216 T(n,k)=Number of nXk 0..3 arrays with every row and column running average nondecreasing rightwards and downwards 8
4, 10, 10, 23, 50, 23, 51, 216, 216, 51, 110, 867, 1684, 867, 110, 233, 3318, 11932, 11932, 3318, 233, 488, 12314, 79739, 146946, 79739, 12314, 488, 1013, 44858, 512681, 1692945, 1692945, 512681, 44858, 1013, 2088, 161257, 3216277, 18624423, 33635880 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
....4......10........23...........51............110.............233
...10......50.......216..........867...........3318...........12314
...23.....216......1684........11932..........79739..........512681
...51.....867.....11932.......146946........1692945........18624423
..110....3318.....79739......1692945.......33635880.......638359663
..233...12314....512681.....18624423......638359663.....21062625664
..488...44858...3216277....198262359....11689716107....671706552402
.1013..161257..19817136...2055746385...207621805136..20756983300265
.2088..574237.120478844..20869314255..3594844603992.624562355419649
.4278.2029778.724707450.208139081237.60914727372933
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..0..2..1....0..0..1..1....0..0..0..0....0..0..0..1....0..0..0..1
..0..0..3..1....0..1..2..2....0..0..2..3....0..0..1..1....0..0..1..1
..3..3..3..3....1..1..3..3....0..0..2..2....0..0..3..3....3..3..3..3
..1..2..3..2....2..2..2..3....0..3..2..3....2..2..2..3....1..1..2..3
CROSSREFS
Column 1 is A200759
Sequence in context: A201729 A310337 A201836 * A184277 A264163 A223165
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 28 2011
STATUS
approved

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Last modified March 3 06:28 EST 2024. Contains 370499 sequences. (Running on oeis4.)