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A204713
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T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the permanents of all 2X2 subblocks equal and nonzero
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8
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7, 13, 13, 25, 33, 25, 49, 81, 81, 49, 97, 209, 257, 209, 97, 193, 529, 833, 833, 529, 193, 385, 1361, 2689, 3473, 2689, 1361, 385, 769, 3473, 8705, 14145, 14145, 8705, 3473, 769, 1537, 8913, 28161, 58449, 73345, 58449, 28161, 8913, 1537, 3073, 22801, 91137
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OFFSET
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1,1
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COMMENTS
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Table starts
...7...13....25.....49.......97.......193........385.........769.........1537
..13...33....81....209......529......1361.......3473........8913........22801
..25...81...257....833.....2689......8705......28161.......91137.......294913
..49..209...833...3473....14145.....58449.....239425......986129......4047681
..97..529..2689..14145....73345....382849....1992321....10382977.....54072961
.193.1361..8705..58449...382849...2542369...16748161...110871041....731709057
.385.3473.28161.239425..1992321..16748161..140090241..1174759297...9838208513
.769.8913.91137.986129.10382977.110871041.1174759297.12503757969.132720731393
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..760
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FORMULA
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Empirical for column k:
k=1: a(n) = 3*a(n-1) -2*a(n-2)
k=2: a(n) = 2*a(n-1) +3*a(n-2) -4*a(n-3)
k=3: a(n) = 3*a(n-1) +2*a(n-2) -4*a(n-3)
k=4: a(n) = a(n-1) +13*a(n-2) +3*a(n-3) -16*a(n-4)
k=5: a(n) = 4*a(n-1) +15*a(n-2) -38*a(n-3) -52*a(n-4) +72*a(n-5)
k=6: (order 9 recurrence)
k=7: (order 10 recurrence)
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EXAMPLE
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Some solutions for n=4 k=3
..1..1..1..1....1..1..1..1....0..1..1..1....1..1..1..1....0..1..0..1
..0..1..0..1....0..1..0..1....1..0..1..0....0..1..0..1....1..1..1..0
..1..1..1..0....1..0..1..0....1..1..1..1....1..1..1..0....1..0..1..1
..0..1..0..1....1..1..0..1....0..1..0..1....1..0..1..1....0..1..1..0
..1..1..1..0....0..1..1..0....1..1..1..0....1..1..0..1....1..1..0..1
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CROSSREFS
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Column 1 is A004119(n+1)
Sequence in context: A135555 A145009 A090229 * A194408 A057930 A013651
Adjacent sequences: A204710 A204711 A204712 * A204714 A204715 A204716
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Jan 18 2012
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STATUS
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approved
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