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A278855 T(n,k)=Number of nXk 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

%I A278855 #4 Nov 29 2016 10:28:56
%S A278855 0,0,0,0,0,0,0,1,1,0,0,25,66,25,0,1,239,1348,1348,239,1,8,1486,15066,
%T A278855 30772,15066,1486,8,36,7072,118158,449677,449677,118158,7072,36,120,
%U A278855 27828,731444,4950399,9317846,4950399,731444,27828,120,330,94720,3813048
%N A278855 T(n,k)=Number of nXk 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.
%C A278855 Table starts
%C A278855 ...0.....0........0..........0............0..............1................8
%C A278855 ...0.....0........1.........25..........239...........1486.............7072
%C A278855 ...0.....1.......66.......1348........15066.........118158...........731444
%C A278855 ...0....25.....1348......30772.......449677........4950399.........44571591
%C A278855 ...0...239....15066.....449677......9317846......154090507.......2167109763
%C A278855 ...1..1486...118158....4950399....154090507.....4026240722......92891826961
%C A278855 ...8..7072...731444...44571591...2167109763....92891826961....3637198028018
%C A278855 ..36.27828..3813048..344302564..26799758534..1935392159582..131770344218055
%C A278855 .120.94720.17413532.2353207764.297417275848.36831668321915.4438698421228261
%H A278855 R. H. Hardin, <a href="/A278855/b278855.txt">Table of n, a(n) for n = 1..219</a>
%F A278855 Empirical for column k:
%F A278855 k=1: [polynomial of degree 7]
%F A278855 k=2: [polynomial of degree 14]
%F A278855 k=3: [polynomial of degree 27]
%F A278855 k=4: [polynomial of degree 52]
%F A278855 k=5: [polynomial of degree 101]
%e A278855 Some solutions for n=4 k=4
%e A278855 ..1..0..1..0. .1..1..1..0. .1..0..0..0. .1..0..0..0. .1..1..1..1
%e A278855 ..0..0..1..0. .0..1..1..0. .1..0..1..0. .1..0..1..0. .0..1..0..0
%e A278855 ..0..0..0..1. .0..0..0..1. .1..0..0..0. .1..0..0..1. .1..1..1..0
%e A278855 ..1..0..1..1. .0..1..0..1. .0..1..0..0. .1..0..0..0. .0..1..1..1
%Y A278855 Column 1 is A000580(n+1).
%K A278855 nonn,tabl
%O A278855 1,12
%A A278855 _R. H. Hardin_, Nov 29 2016