A232579 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, vertically or antidiagonally

16, 72, 72, 516, 1064, 516, 3048, 16316, 16316, 3048, 18944, 265670, 767942, 265670, 18944, 115892, 4252876, 33815878, 33815878, 4252876, 115892, 713488, 67979266, 1481426938, 4107586864, 1481426938, 67979266, 713488, 4389504, 1090643352

Offset

1,1

Comments

Table starts

......16..........72.............516...............3048..................18944

......72........1064...........16316.............265670................4252876

.....516.......16316..........767942...........33815878.............1481426938

....3048......265670........33815878.........4107586864...........497042884074

...18944.....4252876......1481426938.......497042884074........164594058779448

..115892....67979266.....65570285646.....60461419039912......55003296878624386

..713488..1090643352...2886850804200...7337689178112392...18327756561362881814

.4389504.17469440576.127313989421500.891245405559834402.6110458911406869788438

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 37] for n>38

Example

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

Crossrefs

Sequence in context: A258724 A264888 A272964 * A212862 A253151 A339993

Adjacent sequences: A232576 A232577 A232578 * A232580 A232581 A232582

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 26 2013

Status

approved