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A223742 T(n,k)=Number of nXk 0..2 arrays with rows, columns, diagonals and antidiagonals unimodal.

%I A223742 #6 Jul 23 2025 04:26:54
%S A223742 3,9,9,22,81,22,46,484,484,46,86,2116,5600,2116,86,148,7396,42090,
%T A223742 42090,7396,148,239,21904,237088,480236,237088,21904,239,367,57121,
%U A223742 1082738,3868968,3868968,1082738,57121,367,541,134689,4207089,24527068,41586328
%N A223742 T(n,k)=Number of nXk 0..2 arrays with rows, columns, diagonals and antidiagonals unimodal.
%C A223742 Table starts
%C A223742 ...3......9........22.........46...........86...........148............239
%C A223742 ...9.....81.......484.......2116.........7396.........21904..........57121
%C A223742 ..22....484......5600......42090.......237088.......1082738........4207089
%C A223742 ..46...2116.....42090.....480236......3868968......24527068......129982953
%C A223742 ..86...7396....237088....3868968.....41586328.....340038574.....2289596121
%C A223742 .148..21904...1082738...24527068....340038574....3437215802....28017383049
%C A223742 .239..57121...4207089..129982953...2289596121...28017383049...268717054875
%C A223742 .367.134689..14362171..597438379..13281578167..195114520747..2171612995939
%C A223742 .541.292681..44066468.2440360420..68222609208.1200776938428.15433289999394
%C A223742 .771.594441.123591226.9014646324.316008418514.6667000031694
%H A223742 R. H. Hardin, <a href="/A223742/b223742.txt">Table of n, a(n) for n = 1..127</a>
%F A223742 Empirical: columns k=1..6 are polynomials of degree 4*k for n>0,0,0,6,11,18
%e A223742 Some solutions for n=3 k=4
%e A223742 ..0..1..1..2....1..2..1..0....1..1..1..0....0..0..0..0....0..0..1..2
%e A223742 ..2..2..2..0....2..2..1..0....2..2..2..2....2..1..1..1....2..2..2..2
%e A223742 ..1..2..0..0....0..0..2..0....0..2..1..1....1..2..0..0....0..2..2..1
%Y A223742 Column 1 is A223718
%Y A223742 Column 2 is A223719
%K A223742 nonn,tabl
%O A223742 1,1
%A A223742 _R. H. Hardin_ Mar 26 2013