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A237570
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Number of (n+1)X(2+1) 0..3 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
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1
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1876, 24332, 315664, 4146324, 54395184, 712810024, 9341685548, 122455823868, 1605139419940, 21039580744172, 275778485963796, 3614821845795620, 47382014286972468, 621068632282931188, 8140767996582698140
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 22*a(n-2) +717*a(n-3) +9851*a(n-4) +58039*a(n-5) +282363*a(n-6) +932626*a(n-7) +763157*a(n-8) -5054633*a(n-9) -31588581*a(n-10) -115776674*a(n-11) -160827826*a(n-12) +333525933*a(n-13) +1758583042*a(n-14) +2964658024*a(n-15) +49163147*a(n-16) -10533038460*a(n-17) -24197541615*a(n-18) -20964618288*a(n-19) +43163041975*a(n-20) +142771631658*a(n-21) +71165049213*a(n-22) -205125362959*a(n-23) -286625063582*a(n-24) +3665735376*a(n-25) +250982853215*a(n-26) +153419401277*a(n-27) +29910572638*a(n-28) +69334272134*a(n-29) +26030554320*a(n-30) -157877752948*a(n-31) -279343069536*a(n-32) -104462683872*a(n-33) +65989529824*a(n-34) +87578561472*a(n-35) +21371116928*a(n-36) -36675133952*a(n-37) -23711340544*a(n-38) -4557326336*a(n-39) -796352512*a(n-40) -238338048*a(n-41) +625999872*a(n-42) -578551808*a(n-43) -315621376*a(n-44) -50331648*a(n-45)
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EXAMPLE
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Some solutions for n=2
..2..1..2....2..1..3....2..1..1....0..2..2....3..0..1....1..1..0....0..1..0
..2..3..0....3..0..3....2..3..2....1..3..2....3..1..0....3..0..3....1..2..0
..3..1..1....1..3..0....1..0..0....2..2..3....2..1..2....1..0..2....1..3..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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