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A235731
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Number of (n+1)X(3+1) 0..1 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise
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1
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209, 2481, 29130, 337412, 3906424, 45143913, 521746721, 6028565252, 69659874030, 804890692193, 9300241852444, 107460665822569, 1241667704762525, 14346994859722417, 165774069260192855, 1915456124041041749
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OFFSET
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1,1
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COMMENTS
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Column 3 of A235736
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 13*a(n-1) +31*a(n-2) -636*a(n-3) +89*a(n-4) +12041*a(n-5) -11270*a(n-6) -120541*a(n-7) +154024*a(n-8) +740489*a(n-9) -1063058*a(n-10) -3026569*a(n-11) +4525730*a(n-12) +8621311*a(n-13) -12861384*a(n-14) -17576669*a(n-15) +25344090*a(n-16) +26012635*a(n-17) -35238430*a(n-18) -28101627*a(n-19) +34713900*a(n-20) +22128559*a(n-21) -24080258*a(n-22) -12584223*a(n-23) +11581011*a(n-24) +5060172*a(n-25) -3764571*a(n-26) -1380959*a(n-27) +796769*a(n-28) +237764*a(n-29) -104144*a(n-30) -22656*a(n-31) +7728*a(n-32) +896*a(n-33) -256*a(n-34)
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EXAMPLE
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Some solutions for n=3
..1..1..1..0....1..0..1..1....1..1..1..1....0..1..1..1....1..1..0..1
..0..1..0..0....0..0..1..0....0..0..0..0....1..1..0..1....1..0..0..0
..1..0..1..1....0..1..0..0....0..1..0..1....0..1..0..1....0..1..1..0
..0..1..0..0....1..1..1..0....1..0..1..1....0..0..0..0....0..0..1..0
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CROSSREFS
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Sequence in context: A305455 A305020 A316684 * A235512 A203040 A250951
Adjacent sequences: A235728 A235729 A235730 * A235732 A235733 A235734
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jan 15 2014
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STATUS
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approved
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