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A184029
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T(n,k)=1/8 the number of (n+1)X(k+1) 0..3 arrays with all 2X2 subblock sums the same
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10
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32, 88, 88, 242, 204, 242, 748, 491, 491, 748, 2312, 1347, 1052, 1347, 2312, 7684, 3781, 2597, 2597, 3781, 7684, 25538, 11541, 6650, 5802, 6650, 11541, 25538, 89044, 35771, 18701, 13603, 13603, 18701, 35771, 89044, 310472, 117321, 53948, 35256, 29432
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OFFSET
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1,1
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COMMENTS
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Table starts
......32......88.....242.....748....2312....7684...25538...89044..310472
......88.....204.....491....1347....3781...11541...35771..117321..389053
.....242.....491....1052....2597....6650...18701...53948..165929..520322
.....748....1347....2597....5802...13603...35256...94469..271176..798403
....2312....3781....6650...13603...29432...70867..177386..477919.1325792
....7684...11541...18701...35256...70867..159318..374381..950430.2493379
...25538...35771...53948...94469..177386..374381..829724.1994441.4970738
...89044..117321..165929..271176..477919..950430.1994441.4552710
..310472..389053..520322..798403.1325792.2493379.4970738
.1119748.1343649.1709981.2473212.3881491.6918426
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LINKS
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FORMULA
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Empirical, for every row and column: a(n)=8*a(n-1)+16*a(n-2)-268*a(n-3)+189*a(n-4)+3388*a(n-5)-5824*a(n-6)-20048*a(n-7)+49756*a(n-8)+52752*a(n-9)-196896*a(n-10)-24192*a(n-11)+369216*a(n-12)-131328*a(n-13)-262656*a(n-14)+165888*a(n-15)
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EXAMPLE
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Some solutions for 5X4
..1..3..0..3....1..2..1..3....0..3..0..2....2..2..1..1....1..2..2..2
..0..3..1..3....2..1..2..0....3..0..3..1....1..1..2..2....2..2..1..2
..3..1..2..1....2..1..2..2....2..1..2..0....2..2..1..1....2..1..3..1
..2..1..3..1....0..3..0..2....1..2..1..3....0..2..1..3....1..3..0..3
..1..3..0..3....1..2..1..3....0..3..0..2....3..1..2..0....0..3..1..3
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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