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A240327
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T(n,k)=Number of nXk 0..3 arrays with no element equal to zero 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, modulo 4
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6
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2, 2, 2, 4, 5, 4, 6, 17, 17, 6, 8, 37, 116, 37, 8, 14, 80, 455, 455, 80, 14, 20, 213, 1677, 3374, 1677, 213, 20, 30, 443, 8091, 21455, 21455, 8091, 443, 30, 48, 1028, 28448, 189549, 247187, 189549, 28448, 1028, 48, 70, 2511, 117304, 1190246, 3898804
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OFFSET
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1,1
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COMMENTS
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Table starts
..2....2.......4.........6............8............14............20
..2....5......17........37...........80...........213...........443
..4...17.....116.......455.........1677..........8091.........28448
..6...37.....455......3374........21455........189549.......1190246
..8...80....1677.....21455.......247187.......3898804......43979526
.14..213....8091....189549......3898804.....113751796....2343565571
.20..443...28448...1190246.....43979526....2343565571...88562956949
.30.1028..117304...8903613....602874070...58754628922.4085612680937
.48.2511..513841..70945972...8649395684.1550370290554
.70.5370.1871262.460466581.101952716878
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..111
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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 13] for n>14
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EXAMPLE
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Some solutions for n=4 k=4
..3..2..3..2....3..2..3..3....2..3..3..2....3..2..2..2....3..2..3..2
..2..1..2..3....2..1..2..2....3..0..1..3....2..1..1..1....2..3..2..1
..3..1..3..2....3..2..2..0....3..1..1..2....3..0..2..2....3..0..0..2
..2..3..2..2....3..2..2..2....2..3..3..2....3..2..2..2....3..2..0..0
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CROSSREFS
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Column 1 is A239851
Sequence in context: A151680 A231351 A024681 * A308771 A007495 A122385
Adjacent sequences: A240324 A240325 A240326 * A240328 A240329 A240330
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Apr 03 2014
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STATUS
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approved
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