A218056 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nXk array

4, 4, 4, 16, 4, 16, 36, 16, 16, 36, 94, 36, 256, 36, 94, 236, 94, 1296, 1296, 94, 236, 602, 236, 8836, 9792, 8836, 236, 602, 1528, 602, 55696, 114886, 114886, 55696, 602, 1528, 3882, 1528, 362404, 1171452, 2585920, 1171452, 362404, 1528, 3882, 9858, 3882

Offset

1,1

Comments

Table starts

.....4.....4.........16............36..............94..............236

.....4.....4.........16............36..............94..............236

....16....16........256..........1296............8836............55696

....36....36.......1296..........9792..........114886..........1171452

....94....94.......8836........114886.........2585920.........49284832

...236...236......55696.......1171452........49284832.......1673074136

...602...602.....362404......12670594......1007805010......62191743600

..1528..1528....2334784.....134406796.....20132968950....2242118119704

..3882..3882...15069924....1433633158....404539599336...81495204878500

..9858..9858...97180164...15254842534...8108559847952.2952333174631968

.25038.25038..626901444..162467654898.162698302825806

.63592.63592.4043942464.1729976648128

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

Some solutions for n=3 k=4
..3..1..1..1....0..0..1..1....0..0..0..2....1..1..2..2....1..1..2..3
..0..0..1..1....0..0..1..1....0..0..0..1....1..1..1..2....1..1..1..2
..0..0..3..3....3..2..2..2....3..1..1..1....1..1..1..3....1..1..1..2

Crossrefs

Column 3 is A207947(n-1)

Sequence in context: A102127 A201625 A223824 * A218651 A298730 A218181

Adjacent sequences: A218053 A218054 A218055 * A218057 A218058 A218059

Keyword

nonn,tabl

Author

R. H. Hardin Oct 19 2012

Status

approved