A251507 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 3 4 5 6 7 8 or 9

226, 3250, 3250, 46684, 170038, 46684, 670690, 8888108, 8888108, 670690, 9635410, 464687066, 1690296520, 464687066, 9635410, 138426508, 24294592462, 321542579960, 321542579960, 24294592462, 138426508, 1988695378

Offset

1,1

Comments

Table starts

.....226........3250..........46684.............670690...............9635410

....3250......170038........8888108..........464687066...........24294592462

...46684.....8888108.....1690296520.......321542579960........61166220193608

..670690...464687066...321542579960....222571918258598....154063583681248806

.9635410.24294592462.61166220193608.154063583681248806.388048697552904231042

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) +21*a(n-2) -18*a(n-3) -24*a(n-4)

k=2: [order 10]

k=3: [order 32]

Example

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

Crossrefs

Sequence in context: A234155 A251402 A251395 * A251500 A050847 A098247

Adjacent sequences: A251504 A251505 A251506 * A251508 A251509 A251510

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2014

Status

approved