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A265878 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than itself. 5
1, 3, 3, 5, 25, 5, 11, 137, 137, 11, 26, 2084, 1330, 2084, 26, 55, 14854, 30363, 30363, 14854, 55, 119, 136969, 544092, 4393458, 544092, 136969, 119, 263, 1288011, 9831410, 344222538, 344222538, 9831410, 1288011, 263, 573, 10892624, 185555660 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

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

...3......25.......137..........2084............14854...............136969

...5.....137......1330.........30363...........544092..............9831410

..11....2084.....30363.......4393458........344222538..........26635427570

..26...14854....544092.....344222538......90246574543.......21163068638346

..55..136969...9831410...26635427570...21163068638346....15698042741229661

.119.1288011.185555660.2364713952883.6441486693916691.16536262399332183012

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..83

FORMULA

Empirical for column k:

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

k=2: [order 41]

EXAMPLE

Some solutions for n=3 k=4

..0..1..2..0....0..0..1..2....2..1..4..1....1..4..3..0....0..3..3..2

..3..5..5..0....0..5..6..0....1..0..0..3....0..1..2..2....0..1..1..1

..0..0..0..0....0..0..3..1....1..3..4..0....2..3..3..0....1..1..0..2

CROSSREFS

Column 1 is A196423.

Sequence in context: A215912 A157241 A196430 * A201496 A110426 A200562

Adjacent sequences:  A265875 A265876 A265877 * A265879 A265880 A265881

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 17 2015

STATUS

approved

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Last modified October 21 18:36 EDT 2021. Contains 348155 sequences. (Running on oeis4.)