A212939 - OEIS

%I #6 Jun 27 2012 15:23:08

%S 1,10311,6470341,2509306671,801439905901,232665778445031,

%T 64146409058631061,17171607076234160991,4517476409302006541821,

%U 1176061942859281821190551,304219071898389511351734181

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

%C Column 4 of A212943

%H R. H. Hardin, <a href="/A212939/b212939.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 631*a(n-1) -144700*a(n-2) +15035200*a(n-3) -702208000*a(n-4) +11468800000*a(n-5).

%F Empirical: a(n) = 100^n-3*160^n+256^n-35^n+2*80^n. _R. J. Mathar_, Jun 27 2012

%e Some solutions for n=4

%e ..1..0..0..0....0..1..0..3....2..1..1..1....0..1..1..1....0..0..1..0

%e ..0..3..1..2....2..2..1..2....0..2..1..3....3..3..3..2....2..2..0..1

%e ..1..0..1..3....1..1..3..2....3..1..2..0....0..0..2..1....3..2..0..0

%e ..1..3..3..1....1..0..0..1....2..2..1..2....2..1..0..0....0..0..1..0

%K nonn

%O 1,2

%A _R. H. Hardin_ May 31 2012