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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
7
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
1,1
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
LINKS
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
EXAMPLE
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
CROSSREFS
Row and column 1 are A159288(n+1)
Sequence in context: A209727 A063123 A086333 * A367129 A360745 A217121
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 12 2014
STATUS
approved