A233635 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 6

100, 716, 716, 4974, 10544, 4974, 34996, 150054, 150054, 34996, 245244, 2172148, 4350820, 2172148, 245244, 1721166, 31361288, 130732438, 130732438, 31361288, 1721166, 12073496, 453376730, 3912088926, 8271515976, 3912088926, 453376730

Offset

1,1

Comments

Table starts

......100.........716............4974..............34996................245244

......716.......10544..........150054............2172148..............31361288

.....4974......150054.........4350820..........130732438............3912088926

....34996.....2172148.......130732438.........8271515976..........523893377896

...245244....31361288......3912088926.......523893377896........70397790661236

..1721166...453376730....117571581104.....33375589770090......9557844830798770

.12073496..6552999568...3530630987208...2127910272105792...1299207938978711788

.84707304.94726474064.106103463522318.135782900234876140.176985122261187048412

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-1) +19*a(n-2) -27*a(n-3) -55*a(n-4) +37*a(n-5)

k=2: [order 19]

k=3: [order 63]

Example

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

Crossrefs

Sequence in context: A235856 A235850 A264539 * A233628 A030024 A232657

Adjacent sequences: A233632 A233633 A233634 * A233636 A233637 A233638

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2013

Status

approved