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A278634 T(n,k)=Number of nXk 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

%I A278634 #4 Nov 24 2016 10:23:31
%S A278634 0,0,0,1,13,1,15,285,285,15,90,3354,10824,3354,90,357,27521,234484,
%T A278634 234484,27521,357,1107,175881,3739008,10776210,3739008,175881,1107,
%U A278634 2907,932205,48592635,387551595,387551595,48592635,932205,2907,6765,4266912
%N A278634 T(n,k)=Number of nXk 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.
%C A278634 Table starts
%C A278634 ....0.......0..........1............15................90..................357
%C A278634 ....0......13........285..........3354.............27521...............175881
%C A278634 ....1.....285......10824........234484...........3739008.............48592635
%C A278634 ...15....3354.....234484......10776210.........387551595..........11719632199
%C A278634 ...90...27521....3739008.....387551595.......33967584488........2593097277036
%C A278634 ..357..175881...48592635...11719632199.....2593097277036......521528860552802
%C A278634 .1107..932205..541463431..309971214338...175644502146694....94782697883923436
%C A278634 .2907.4266912.5325263364.7350438329498.10734760074025367.15624069731088285787
%H A278634 R. H. Hardin, <a href="/A278634/b278634.txt">Table of n, a(n) for n = 1..127</a>
%F A278634 Empirical for column k:
%F A278634 k=1: [polynomial of degree 8]
%F A278634 k=2: [polynomial of degree 24]
%F A278634 k=3: [polynomial of degree 70]
%e A278634 Some solutions for n=3 k=4
%e A278634 ..0..1..2..1. .0..2..1..0. .0..1..2..2. .1..0..0..1. .0..2..0..2
%e A278634 ..1..0..0..0. .2..2..2..1. .1..0..2..2. .0..2..1..0. .2..0..0..0
%e A278634 ..2..1..0..0. .2..0..1..2. .1..2..1..0. .2..2..2..2. .2..2..2..1
%Y A278634 Column 1 is A005716(n+1).
%K A278634 nonn,tabl
%O A278634 1,5
%A A278634 _R. H. Hardin_, Nov 24 2016