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A278435 T(n,k)=Number of nXk 0..3 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

%I A278435 #4 Nov 22 2016 06:56:13
%S A278435 0,6,6,40,100,40,155,1609,1609,155,456,19624,57760,19624,456,1128,
%T A278435 178352,2116789,2116789,178352,1128,2472,1287838,67971132,223202074,
%U A278435 67971132,1287838,2472,4950,7795151,1796061464,23450120081,23450120081,1796061464
%N A278435 T(n,k)=Number of nXk 0..3 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.
%C A278435 Table starts
%C A278435 ....0.......6.........40...........155..............456................1128
%C A278435 ....6.....100.......1609.........19624...........178352.............1287838
%C A278435 ...40....1609......57760.......2116789.........67971132..........1796061464
%C A278435 ..155...19624....2116789.....223202074......23450120081.......2266913897519
%C A278435 ..456..178352...67971132...23450120081....7817299555828....2573951428892959
%C A278435 .1128.1287838.1796061464.2266913897519.2573951428892959.2817080307689646420
%H A278435 R. H. Hardin, <a href="/A278435/b278435.txt">Table of n, a(n) for n = 1..97</a>
%F A278435 Empirical for column k:
%F A278435 k=1: [polynomial of degree 7]
%F A278435 k=2: [polynomial of degree 31]
%F A278435 k=3: [polynomial of degree 127]
%e A278435 Some solutions for n=3 k=4
%e A278435 ..0..0..0..3. .0..0..2..0. .0..0..2..2. .0..0..1..3. .0..0..0..1
%e A278435 ..1..1..3..0. .0..1..0..0. .0..2..3..0. .1..3..2..1. .1..1..3..0
%e A278435 ..0..3..3..0. .0..1..3..2. .0..3..2..1. .0..3..0..1. .0..2..2..2
%Y A278435 Column 1 is A001919(n+1).
%K A278435 nonn,tabl
%O A278435 1,2
%A A278435 _R. H. Hardin_, Nov 22 2016