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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 8
196, 2292, 2292, 26664, 82241, 26664, 310224, 2986712, 2986712, 310224, 3609989, 108857571, 338614056, 108857571, 3609989, 42010273, 3969434142, 38343620608, 38343620608, 3969434142, 42010273, 488885832, 144740268503, 4336649865709 (list; table; graph; refs; listen; history; text; internal format)
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: A306232 A006960 A014798 * A251301 A277792 A178722

Adjacent sequences:  A251305 A251306 A251307 * A251309 A251310 A251311

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 01 2014

STATUS

approved

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Last modified October 22 18:45 EDT 2021. Contains 348175 sequences. (Running on oeis4.)