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A250910 Number of (n+1)X(5+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

%I A250910 #6 Jul 23 2025 12:50:44
%S A250910 325277,147178899,66566704705,30104106257115,13614176466285177,
%T A250910 6156816533805174849,2784331051704024117237,1259173248324767358662925,
%U A250910 569442787308774307063155581,257522216934259282355558842095
%N A250910 Number of (n+1)X(5+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.
%C A250910 Column 5 of A250913
%H A250910 R. H. Hardin, <a href="/A250910/b250910.txt">Table of n, a(n) for n = 1..210</a>
%F A250910 Empirical: a(n) = 620*a(n-1) -83627*a(n-2) +3605344*a(n-3) -42939846*a(n-4) -359947350*a(n-5) -21966661684*a(n-6) +497911964614*a(n-7) +513259039316*a(n-8) -10457703809577*a(n-9) -38142371891658*a(n-10) +587402536308610*a(n-11) -708344809484929*a(n-12) +2544659270637351*a(n-13) -21664799325067637*a(n-14) -42112417379573209*a(n-15) -236690631158164970*a(n-16) -4176670320833459964*a(n-17) -3656719896908549160*a(n-18) +2416174462811127841*a(n-19) +24326017200039318168*a(n-20) +17107585593966470060*a(n-21) -12080326048429290248*a(n-22) -18434081023517743400*a(n-23) -1896924959275875792*a(n-24) +6243621207481879936*a(n-25) +2258125750726765056*a(n-26) -358275665973080064*a(n-27) -370973105956454400*a(n-28) -15044183404314624*a(n-29) +22277901999144960*a(n-30)
%e A250910 Some solutions for n=1
%e A250910 ..2..2..0..0..2..2....1..0..0..0..2..1....2..2..1..0..1..0....0..0..2..0..0..1
%e A250910 ..2..0..2..2..2..0....1..0..2..2..2..2....0..1..1..0..1..0....2..0..1..2..0..2
%K A250910 nonn
%O A250910 1,1
%A A250910 _R. H. Hardin_, Nov 28 2014