A234122 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.

31, 145, 145, 673, 1361, 673, 3127, 12593, 12593, 3127, 14527, 116801, 231713, 116801, 14527, 67489, 1082977, 4279065, 4279065, 1082977, 67489, 313537, 10041953, 79003521, 157630963, 79003521, 10041953, 313537, 1456615, 93113761

Offset: 1

Author

R. H. Hardin, Dec 19 2013

Keywords

• nonn
• tabl

Comments

Table starts

.......31.........145.............673...............3127.................14527

......145........1361...........12593.............116801...............1082977

......673.......12593..........231713............4279065..............79003521

.....3127......116801.........4279065..........157630963............5807422543

....14527.....1082977........79003521.........5807422543..........427196005695

....67489....10041953......1458813409.......214027901025........31446640848897

...313537....93113761.....26937444801......7888454356625......2315408571668225

..1456615...863396401....497411686793....290756314787875....170502665692732079

..6767071..8005833073...9184935953377..10716964158533127..12556134956123911615

.31438129.74233997105.169604155276817.395017615132720993.924677153131389366689

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..364

Crossrefs

Column 1 is A086901(n+3)

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) +3*a(n-2)

k=2: a(n) = 10*a(n-1) -4*a(n-2) -26*a(n-3) +5*a(n-4)

k=3: a(n) = 20*a(n-1) -10*a(n-2) -324*a(n-3) -277*a(n-4) +144*a(n-5)

k=4: [order 11]

k=5: [order 17]

k=6: [order 35]

k=7: [order 62]