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A212939 Number of nX4 0..3 arrays with no column j greater than or equal to than column j-1 in all rows.

%I A212939 #8 Jul 22 2025 22:59:48
%S A212939 1,10311,6470341,2509306671,801439905901,232665778445031,
%T A212939 64146409058631061,17171607076234160991,4517476409302006541821,
%U A212939 1176061942859281821190551,304219071898389511351734181
%N A212939 Number of nX4 0..3 arrays with no column j greater than or equal to than column j-1 in all rows.
%C A212939 Column 4 of A212943
%H A212939 R. H. Hardin, <a href="/A212939/b212939.txt">Table of n, a(n) for n = 1..210</a>
%F A212939 Empirical: a(n) = 631*a(n-1) -144700*a(n-2) +15035200*a(n-3) -702208000*a(n-4) +11468800000*a(n-5).
%F A212939 Empirical: a(n) = 100^n-3*160^n+256^n-35^n+2*80^n. _R. J. Mathar_, Jun 27 2012
%e A212939 Some solutions for n=4
%e A212939 ..1..0..0..0....0..1..0..3....2..1..1..1....0..1..1..1....0..0..1..0
%e A212939 ..0..3..1..2....2..2..1..2....0..2..1..3....3..3..3..2....2..2..0..1
%e A212939 ..1..0..1..3....1..1..3..2....3..1..2..0....0..0..2..1....3..2..0..0
%e A212939 ..1..3..3..1....1..0..0..1....2..2..1..2....2..1..0..0....0..0..1..0
%K A212939 nonn
%O A212939 1,2
%A A212939 _R. H. Hardin_ May 31 2012