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A185849
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Number of (n+1)X3 0..2 arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum
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1
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630, 11610, 215880, 4004914, 74358926, 1380412312, 25625942242, 475728999902, 8831529274288, 163950562398426, 3043616539513970, 56502397501376376, 1048923589807240594, 19472460036409387670, 361491250199327640676
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OFFSET
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1,1
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COMMENTS
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Column 2 of A185856
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..200
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FORMULA
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Empirical: a(n)=8*a(n-1)+106*a(n-2)+1154*a(n-3)+7341*a(n-4)+38354*a(n-5)+75897*a(n-6)+26908*a(n-7)+363811*a(n-8)-971504*a(n-9)-6880482*a(n-10)-1595117*a(n-11)+13890723*a(n-12)-50693559*a(n-13)-54673009*a(n-14)+185578667*a(n-15)-214035759*a(n-16)-910901251*a(n-17)+1570495381*a(n-18)+2337237818*a(n-19)-6890840995*a(n-20)-7626185862*a(n-21)+18279944018*a(n-22)+20105596552*a(n-23)-48993202848*a(n-24)-29327197968*a(n-25)+67685629696*a(n-26)+13126132416*a(n-27)-29811833984*a(n-28)-9414272512*a(n-29)-22788287488*a(n-30)+12806834176*a(n-31)+16026865664*a(n-32)-6554771456*a(n-33)-1887731712*a(n-34)+627769344*a(n-35)+55836672*a(n-36)
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EXAMPLE
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Some solutions for 5X3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..1....1..0..0....0..0..1....0..2..0....0..0..1....1..0..0....2..0..1
..2..1..0....2..2..1....1..2..0....0..2..1....0..2..0....2..1..0....0..1..1
..1..2..0....0..2..2....2..1..2....1..0..1....2..2..2....2..0..2....0..0..1
..1..2..2....1..1..0....0..0..0....2..2..2....0..2..2....1..2..2....1..2..2
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CROSSREFS
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Sequence in context: A171258 A234245 A234241 * A058832 A225390 A061163
Adjacent sequences: A185846 A185847 A185848 * A185850 A185851 A185852
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Feb 05 2011
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STATUS
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approved
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