A251308 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements less than the maximum of its antidiagonal elements

196, 2292, 2292, 26664, 82241, 26664, 310224, 2986712, 2986712, 310224, 3609989, 108857571, 338614056, 108857571, 3609989, 42010273, 3969434142, 38343620608, 38343620608, 3969434142, 42010273, 488885832, 144740268503, 4336649865709

Offset

1,1

Comments

Table starts

.....196.......2292.........26664...........310224.............3609989

....2292......82241.......2986712........108857571..........3969434142

...26664....2986712.....338614056......38343620608.......4336649865709

..310224..108857571...38343620608...13468082968018....4729336342478281

.3609989.3969434142.4336649865709.4729336342478281.5160035123473951638

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical for column k:

k=1: a(n) = 16*a(n-1) -60*a(n-2) +116*a(n-3) -104*a(n-4) +48*a(n-5) -11*a(n-6) +a(n-7)

k=2: [order 24]

k=3: [order 74]

Example

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

Crossrefs

Sequence in context: A006960 A014798 A366278 * A251301 A277792 A178722

Adjacent sequences: A251305 A251306 A251307 * A251309 A251310 A251311

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2014

Status

approved