A251300 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 3 6 or 9

84, 444, 444, 2356, 3140, 2356, 12556, 22536, 22536, 12556, 67204, 164480, 223164, 164480, 67204, 361244, 1221748, 2302844, 2302844, 1221748, 361244, 1950036, 9240612, 24846540, 34973116, 24846540, 9240612, 1950036, 10570156, 71163896

Offset

1,1

Comments

Table starts

.......84.......444........2356.........12556...........67204............361244

......444......3140.......22536........164480.........1221748...........9240612

.....2356.....22536......223164.......2302844........24846540.........280654684

....12556....164480.....2302844......34973116.......579830068.......10472034724

....67204...1221748....24846540.....579830068.....15595789732......475709341972

...361244...9240612...280654684...10472034724....475709341972....25252159754868

..1950036..71163896..3313122288..203797267488..15983177343168..1492135910643272

.10570156.557726448.40698859196.4207802278096.574357430022192.94429432665791560

Links

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

Formula

Empirical for column k:

k=1: a(n) = 10*a(n-1) -21*a(n-2) -20*a(n-3)

k=2: [order 7]

k=3: [order 18]

k=4: [order 44]

Example

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

Crossrefs

Sequence in context: A229537 A083986 A189543 * A251293 A251254 A349682

Adjacent sequences: A251297 A251298 A251299 * A251301 A251302 A251303

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2014

Status

approved