A251499 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 4 5 6 7 or 8

186, 2270, 2270, 27844, 86946, 27844, 341718, 3361296, 3361296, 341718, 4194002, 130169514, 411510096, 130169514, 4194002, 51474508, 5042543734, 50511532876, 50511532876, 5042543734, 51474508, 631765770, 195351371872, 6203258853660

Offset

1,1

Comments

Table starts

.....186.......2270.........27844...........341718.............4194002

....2270......86946.......3361296........130169514..........5042543734

...27844....3361296.....411510096......50511532876.......6203258853660

..341718..130169514...50511532876...19669407965330....7664671702820686

.4194002.5042543734.6203258853660.7664671702820686.9478728485533475524

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: a(n) = 13*a(n-1) -5*a(n-2) -52*a(n-3) +48*a(n-4)

k=2: [order 12]

k=3: [order 52]

Example

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

Crossrefs

Sequence in context: A234108 A200199 A364859 * A251492 A289301 A147817

Adjacent sequences: A251496 A251497 A251498 * A251500 A251501 A251502

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2014

Status

approved