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A241435
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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 one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4
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14
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2, 3, 3, 4, 5, 4, 7, 10, 2, 7, 10, 21, 22, 3, 10, 15, 45, 74, 97, 5, 15, 24, 88, 158, 515, 213, 6, 24, 35, 181, 448, 1563, 1527, 381, 9, 35, 54, 378, 1272, 5915, 7495, 5304, 1005, 10, 54, 83, 710, 3284, 22712, 45139, 37148, 20690, 1900, 15, 83, 124, 1460, 8331, 76145
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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
..3..5....10.....21.......45.........88.........181.........378.........710
..4..2....22.....74......158........448........1272........3284........8331
..7..3....97....515.....1563.......5915.......22712.......76145......270960
.10..5...213...1527.....7495......45139......282527.....1304136.....6927135
.15..6...381...5304....37148.....377314.....4122537....29425635...269064197
.24..9..1005..20690...218885....4136727....79901137..1058201862.16609740868
.35.10..1900..61348..1059975...34541924..1231102996.34796682706
.54.15..4137.257119..7257895..418453966.26880310825
.83.21.10518.920918.44141371.4088141292
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..126
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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 11] for n>13
Empirical for row n:
n=1: a(n) = a(n-2) +2*a(n-3)
n=2: [order 22] for n>24
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EXAMPLE
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Some solutions for n=4 k=4
..2..2..3..3....2..2..3..3....2..2..3..2....3..2..3..2....3..2..3..2
..2..1..3..2....2..1..1..2....2..1..1..0....2..1..1..0....2..1..1..2
..3..1..0..0....3..3..0..0....3..1..0..2....3..1..3..2....3..1..2..2
..2..0..0..0....2..2..2..0....3..2..0..0....3..2..1..2....2..0..0..0
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CROSSREFS
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Column and row 1 are A159288(n+1)
Sequence in context: A179840 A357431 A240153 * A349320 A078338 A338587
Adjacent sequences: A241432 A241433 A241434 * A241436 A241437 A241438
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Apr 22 2014
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STATUS
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approved
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