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A241255
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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
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14
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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FORMULA
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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
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EXAMPLE
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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
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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