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A196578
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T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,2,3,0,4 for x=0,1,2,3,4
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7
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1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 7, 16, 7, 1, 1, 17, 37, 37, 17, 1, 1, 41, 117, 145, 117, 41, 1, 1, 99, 372, 971, 971, 372, 99, 1, 1, 239, 1168, 4787, 8781, 4787, 1168, 239, 1, 1, 577, 3613, 24837, 63549, 63549, 24837, 3613, 577, 1, 1, 1393, 11247, 134167, 543386, 770738
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OFFSET
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1,8
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COMMENTS
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Every 0 is next to 0 1's, every 1 is next to 1 2's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 4's
Table starts
.1....1.....1.......1.........1...........1.............1...............1
.1....1.....3.......7........17..........41............99.............239
.1....3....16......37.......117.........372..........1168............3613
.1....7....37.....145.......971........4787.........24837..........134167
.1...17...117.....971......8781.......63549........543386.........4387171
.1...41...372....4787.....63549......770738......10178170.......128517885
.1...99..1168...24837....543386....10178170.....209244430......4167002491
.1..239..3613..134167...4387171...128517885....4167002491....130044352635
.1..577.11247..700787..35669727..1637625413...83787848176...4091795380757
.1.1393.35047.3689127.291499339.20917250887.1681864142052.128451721526375
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..312
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EXAMPLE
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Some solutions for n=6 k=4
..0..0..0..0....0..0..0..0....0..0..3..0....0..0..0..0....0..0..0..0
..0..3..0..3....0..3..0..3....3..0..0..3....0..3..3..0....0..0..0..3
..0..2..3..0....0..3..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..3..0..0..0....0..0..0..0....3..0..0..3....0..3..3..0....0..3..2..0
..0..0..0..3....0..0..0..3....0..3..3..0....3..0..0..3....0..0..3..0
..0..3..0..0....0..0..0..0....0..0..0..0....0..0..3..0....0..0..0..0
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CROSSREFS
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Column 2 is A001333(n-1)
Sequence in context: A333513 A196646 A196601 * A196809 A101842 A196786
Adjacent sequences: A196575 A196576 A196577 * A196579 A196580 A196581
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Oct 04 2011
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STATUS
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approved
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