A232431 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or vertically

4, 16, 16, 64, 192, 64, 240, 1632, 1632, 240, 988, 14592, 33708, 14592, 988, 3964, 132980, 650696, 650696, 132980, 3964, 15844, 1222708, 14465384, 31127576, 14465384, 1222708, 15844, 63808, 11215820, 313201804, 1595145428, 1595145428

Offset

1,1

Comments

Table starts

.......4.........16.............64..............240................988

......16........192...........1632............14592.............132980

......64.......1632..........33708...........650696...........14465384

.....240......14592.........650696.........31127576.........1595145428

.....988.....132980.......14465384.......1595145428.......185475760412

....3964....1222708......313201804......78230147672.....21459885565768

...15844...11215820.....6514702216....3847288654852...2454572593671572

...63808..102219940...139122934752..190729773692400.281383922814721980

..256096..933038584..2976033930696.9418543950518992

.1029152.8540079344.63123128916304

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +10*a(n-2) +11*a(n-3) -a(n-4) -28*a(n-5) -32*a(n-6)

k=2: [order 21]

k=3: [order 55]

Example

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

Crossrefs

Sequence in context: A223066 A339570 A223071 * A267974 A267997 A229105

Adjacent sequences: A232428 A232429 A232430 * A232432 A232433 A232434

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 23 2013

Status

approved