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A240260
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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 one 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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8
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3, 7, 7, 16, 26, 16, 38, 102, 89, 38, 90, 429, 707, 342, 90, 212, 1814, 5610, 5484, 1362, 212, 500, 7576, 45436, 85567, 43200, 5447, 500, 1180, 31876, 368247, 1378558, 1350983, 343959, 21816, 1180, 2784, 134302, 2999288, 22319938, 43503375
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OFFSET
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1,1
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COMMENTS
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Table starts
....3.......7.........16..........38............90...........212...........500
....7......26........102.........429..........1814..........7576.........31876
...16......89........707........5610.........45436........368247.......2999288
...38.....342.......5484.......85567.......1378558......22319938.....362690826
...90....1362......43200.....1350983......43503375....1409359406...45804774819
..212....5447.....343959....21525611....1386865953...89883497849.5842759733285
..500...21816....2750576...344032061...44332944831.5748121725943
.1180...87527...22038291..5504564819.1418479860917
.2784..351510..176729972.88114108260
.6568.1412417.1417804827
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..81
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FORMULA
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Empirical for column k:
k=1: a(n) = 2*a(n-1) +2*a(n-3)
k=2: [order 31]
Empirical for row n:
n=1: a(n) = 2*a(n-1) +2*a(n-3)
n=2: [order 44]
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EXAMPLE
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Some solutions for n=4 k=4
..2..0..0..0....0..2..2..0....0..2..2..2....0..2..0..2....2..2..2..2
..0..0..0..0....0..0..2..2....2..0..2..0....0..0..2..0....0..0..0..2
..0..0..0..0....2..2..2..2....2..2..0..0....2..0..2..2....2..0..2..2
..2..0..0..0....0..2..2..0....0..2..2..2....0..0..0..0....0..0..0..0
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CROSSREFS
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Column 1 and row 1 are A239040
Sequence in context: A130003 A098581 A238997 * A240427 A239047 A229521
Adjacent sequences: A240257 A240258 A240259 * A240261 A240262 A240263
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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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