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A212942 Number of nX7 0..6 arrays with no column j greater than or equal to than column j-1 in all rows.

%I A212942 #6 Jul 22 2025 23:00:30
%S A212942 1,32383630189,135992452878101359,221920456466342315024785,
%T A212942 255478496068295791189905082231,250841509251155966625680184691562929,
%U A212942 227328735342370296661661894900118524516359
%N A212942 Number of nX7 0..6 arrays with no column j greater than or equal to than column j-1 in all rows.
%C A212942 Column 7 of A212943
%H A212942 R. H. Hardin, <a href="/A212942/b212942.txt">Table of n, a(n) for n = 1..210</a>
%F A212942 Empirical: a(n) = 2323483*a(n-1) -2167154969952*a(n-2) +1086330796113513244*a(n-3) -329778884328286978977952*a(n-4) +64517502456132437770369148544*a(n-5) -8421554343462670052897532765935616*a(n-6) +747012180292693168982253383087616310272*a(n-7) -45320700037087646211097507312328132762984448*a(n-8) +1872991150391269654429084597380378344674028617728*a(n-9) -51936059702018704067955656273063090467733238547218432*a(n-10) +938955828089973458590692996057468119367652949010608553984*a(n-11) -10544878359956363252917775501846837273628118104421027150823424*a(n-12) +67581624519887879771651501946182123485150605725959917286635601920*a(n-13) -209181393867491964480827236276816398998810506947956308433062959513600*a(n-14) +205819420752306963772376008790571963882492713708055771807588273881088000*a(n-15)
%e A212942 Some solutions for n=4
%e A212942 ..4..4..6..0..3..5..3....1..4..6..5..4..6..6....2..5..2..0..2..5..4
%e A212942 ..3..4..5..1..5..0..5....2..3..4..3..4..6..0....5..1..4..6..5..5..3
%e A212942 ..4..2..4..1..6..1..1....5..5..6..5..6..0..3....5..5..0..4..6..4..3
%e A212942 ..6..6..0..3..2..1..1....6..2..0..3..3..5..5....1..3..1..1..3..5..3
%K A212942 nonn
%O A212942 1,2
%A A212942 _R. H. Hardin_ May 31 2012