A240792 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

2, 3, 3, 4, 4, 4, 7, 5, 5, 7, 10, 10, 8, 10, 10, 15, 14, 19, 27, 13, 15, 24, 24, 34, 37, 49, 14, 24, 35, 53, 82, 132, 85, 50, 30, 35, 54, 70, 278, 552, 460, 142, 89, 32, 54, 83, 140, 669, 2277, 2009, 1130, 386, 115, 36, 83, 124, 237, 1969, 11588, 15611, 6993, 6393, 979, 182

Offset: 1

Author

R. H. Hardin, Apr 12 2014

Keywords

• nonn
• tabl

Comments

Table starts

..2..3...4....7.....10......15.........24.........35..........54.........83

..3..4...5...10.....14......24.........53.........70.........140........237

..4..5...8...19.....34......82........278........669........1969.......3553

..7.10..27...37....132.....552.......2277......11588.......35799.....109054

.10.13..49...85....460....2009......15611......90831......522104....2386511

.15.14..50..142...1130....6993......92681.....983289.....7075546...64616034

.24.30..89..386...6393...69732....1691066...33021579...408482271.5524873850

.35.32.115..979..22255..398128...16946464..651434319.13673101597

.54.36.182.1988..62705.1646410..117913446.8338435721

.83.67.289.5128.252760.9472037.1022475213

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..142

Crossrefs

Row and column 1 are A159288(n+1)

Formula

Empirical for column k:

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

k=2: [order 17] for n>19

k=3: [order 76] for n>87

Empirical for row n:

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

n=2: [order 17] for n>21