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URL: https://oeis.org/A241255

⇱ A241255 - OEIS

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A241255
T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.
14
2, 3, 2, 4, 5, 4, 7, 4, 17, 6, 10, 10, 13, 39, 8, 15, 12, 34, 47, 87, 14, 24, 22, 71, 120, 174, 212, 20, 35, 41, 135, 446, 545, 606, 488, 30, 54, 59, 356, 1202, 3404, 2570, 2111, 1134, 48, 83, 120, 734, 3822, 11700, 25190, 13328, 6647, 2644, 70, 124, 171, 1705, 11428
OFFSET
1,1
COMMENTS
Table starts
..2....3.....4.......7........10.........15.........24.........35.........54
..2....5.....4......10........12.........22.........41.........59........120
..4...17....13......34........71........135........356........734.......1705
..6...39....47.....120.......446.......1202.......3822......11428......35540
..8...87...174.....545......3404......11700......50281.....252069.....959723
.14..212...606....2570.....25190.....124372.....752717....6264519...34987493
.20..488..2111...13328....225191....1558957...13138271..205823368.1596727720
.30.1134..6647...70264...2057343...22016913..265444281.8317272277
.48.2644.21752..390840..20539926..362503120.6509404451
.70.6118.70595.2166393.204332167.6317232175
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-2) +2*a(n-3)
k=2: [order 34] for n>37
Empirical for row n:
n=1: a(n) = a(n-2) +2*a(n-3)
n=2: [order 10] for n>12
n=3: [order 52] for n>59
EXAMPLE
Some solutions for n=4 k=4
..2..2..3..3....2..2..3..2....2..2..3..3....3..3..2..3....3..3..2..2
..0..0..2..1....3..1..0..3....0..0..2..1....2..1..1..2....2..1..3..1
..0..0..0..3....2..1..1..2....0..3..2..3....2..2..0..2....0..2..2..2
..0..0..0..2....2..2..3..2....3..2..1..2....0..0..0..2....2..0..0..2
CROSSREFS
Column 1 is A239851
Row 1 is A159288(n+1)
Sequence in context: A119465 A359369 A090321 * A390962 A174625 A178853
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 18 2014
STATUS
approved