login
A239649
T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.
14
2, 4, 4, 8, 20, 10, 16, 92, 112, 22, 32, 418, 1182, 560, 50, 64, 1898, 12246, 13476, 2874, 114, 128, 8588, 127454, 320314, 158728, 14788, 258, 256, 38888, 1320102, 7629186, 8634040, 1864886, 75540, 586, 512, 175974, 13703468, 181039448, 471203608
OFFSET
1,1
COMMENTS
Table starts
....2.......4..........8............16...............32...................64
....4......20.........92...........418.............1898.................8588
...10.....112.......1182.........12246...........127454..............1320102
...22.....560......13476........320314..........7629186............181039448
...50....2874.....158728.......8634040........471203608..........25594620082
..114...14788....1864886.....232304146......29007348454........3608789598890
..258...75540...21813374....6219477628....1778793691226......506611939408296
..586..387306..255830770..167002115382..109328664988704....71303275040032094
.1330.1983686.2997975560.4480024646968.6715782662219974.10028169382114414238
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3)
k=2: [order 10]
k=3: [order 35]
Empirical for row n:
n=1: a(n) = 2*a(n-1)
n=2: a(n) = 3*a(n-1) +12*a(n-2) -18*a(n-3) -29*a(n-4) +19*a(n-5) +38*a(n-6) +8*a(n-7)
n=3: [order 25]
n=4: [order 91]
EXAMPLE
Some solutions for n=3 k=4
..3..1..3..1....3..0..1..3....1..0..3..3....3..0..0..0....1..0..3..3
..2..1..2..0....2..1..1..2....1..0..3..3....2..0..3..0....1..3..2..0
..1..3..1..0....2..1..1..1....1..0..3..3....2..1..2..3....1..0..0..0
CROSSREFS
Column 1 is A078040
Row 1 is A000079
Sequence in context: A160124 A295293 A080007 * A264190 A006967 A296229
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 23 2014
STATUS
approved