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A208864
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T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors
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8
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1, 2, 2, 5, 11, 5, 15, 127, 127, 15, 51, 1691, 5796, 1691, 51, 187, 23047, 273049, 273049, 23047, 187, 715, 315203, 12883280, 44452082, 12883280, 315203, 715, 2795, 4313071, 607924387, 7240366702, 7240366702, 607924387, 4313071, 2795, 11051, 59022155
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OFFSET
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1,2
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COMMENTS
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Table starts
....1........2.............5................15....................51
....2.......11...........127..............1691.................23047
....5......127..........5796............273049..............12883280
...15.....1691........273049..........44452082............7240366702
...51....23047......12883280........7240366702.........4071491223248
..187...315203.....607924387.....1179377179523......2289701830963879
..715..4313071...28686344276...192108983085145...1287681340443915644
.2795.59022155.1353633375649.31292693945057258.724166398812363542260
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..144
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EXAMPLE
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Some solutions for n=4 k=3
..0..0..1....0..0..0....0..1..1....0..1..0....0..0..0....0..0..0....0..0..0
..0..2..0....0..1..2....1..0..2....0..2..3....0..1..2....0..1..1....0..1..1
..1..2..1....1..2..3....3..0..1....3..0..0....2..1..2....0..1..2....1..2..0
..3..0..0....1..0..0....1..1..2....2..1..3....0..1..2....2..3..2....1..0..1
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CROSSREFS
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Column 1 is A007581(n-1)
Sequence in context: A117400 A005637 A209100 * A104080 A078405 A109278
Adjacent sequences: A208861 A208862 A208863 * A208865 A208866 A208867
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Mar 02 2012
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STATUS
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approved
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