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A265981 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors less than itself. 9
1, 3, 1, 5, 23, 1, 11, 117, 123, 1, 26, 583, 1267, 809, 1, 55, 5554, 11573, 13894, 5274, 1, 119, 52555, 320641, 282056, 262258, 33923, 1, 263, 405165, 8061815, 40743954, 8935989, 3699605, 219807, 1, 573, 3187023, 133236904, 3698768651, 5155545324 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.1........3...........5...........11.............26..............55

.1.......23.........117..........583...........5554...........52555

.1......123........1267........11573.........320641.........8061815

.1......809.......13894.......282056.......40743954......3698768651

.1.....5274......262258......8935989.....5155545324...1978988798923

.1....33923.....3699605....250833288...620145580463.809078767234538

.1...219807....50337359...7041080382.79392682076391

.1..1424725...795864688.208041110790

.1..9226721.11746148349

.1.59782080

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: [order 15]

k=3: [order 35] for n>36

Empirical for row n:

n=1: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4)

n=2: [order 26]

EXAMPLE

Some solutions for n=3 k=4

..0..4..2..0....0..0..0..1....2..1..4..1....0..0..1..2....2..0..4..1

..1..0..0..3....3..0..6..0....3..0..0..1....0..6..1..3....3..0..0..0

..1..4..2..1....1..2..0..0....2..1..4..1....0..4..0..1....0..0..4..1

CROSSREFS

Column 2 is A196424.

Row 1 is A196423.

Sequence in context: A187369 A039512 A140825 * A037280 A324204 A168611

Adjacent sequences:  A265978 A265979 A265980 * A265982 A265983 A265984

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 19 2015

STATUS

approved

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Last modified June 20 13:04 EDT 2021. Contains 345164 sequences. (Running on oeis4.)