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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 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 27 03:13 EST 2023. Contains 359836 sequences. (Running on oeis4.)