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A189435
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T(n,k)=Number of nXk array permutations with each element not moving, or moving one space N, SW or SE
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13
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1, 1, 1, 1, 2, 1, 1, 3, 5, 1, 1, 5, 9, 9, 1, 1, 8, 29, 31, 20, 1, 1, 13, 65, 140, 109, 41, 1, 1, 21, 181, 571, 841, 367, 85, 1, 1, 34, 441, 2413, 5680, 4653, 1245, 178, 1, 1, 55, 1165, 10069, 40065, 52241, 26589, 4247, 369, 1, 1, 89, 2929, 42205, 278105, 606201, 493941
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OFFSET
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1,5
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COMMENTS
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Table starts
.1...1.....1.......1.........1...........1.............1...............1
.1...2.....3.......5.........8..........13............21..............34
.1...5.....9......29........65.........181...........441............1165
.1...9....31.....140.......571........2413.........10069...........42205
.1..20...109.....841......5680.......40065........278105.........1940868
.1..41...367....4653.....52241......606201.......6944573........79826592
.1..85..1245...26589....493941.....9557077.....181540773......3467525301
.1.178..4247..151081...4681376...150278792....4742833745....150293731826
.1.369.14453..859264..44341381..2367212857..124239687001...6540976400913
.1.769.49167.4891841.420325171.37358187521.3261208487441.285499775348185
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..180
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EXAMPLE
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Some solutions for 5X3
..0..4..5....0..4..5....3..1..2....0..1..5....0..4..5....0..4..5....0..4..5
..1..2..8....3..2..1....6..0..5....6..2..8....6..2..1....1..2..8....6..2..1
..9..3.11....6.10..8....4..7..8....4..3.11....9..3.11....6..3.11....9..3..8
..7..6.14....9.13..7....9.13.14....7.13.14....7..8.14....7.13.14....7.13.14
.12.13.10...12.11.14...12.11.10...12..9.10...12.13.10...12..9.10...12.11.10
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CROSSREFS
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Column 2 is A105309
Row 2 is A000045(n+1)
Row 3 is A006131
Sequence in context: A123349 A123352 A114163 * A090234 A007754 A144866
Adjacent sequences: A189432 A189433 A189434 * A189436 A189437 A189438
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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 2011
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STATUS
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approved
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