A203500 - OEIS

%I #5 Mar 31 2012 12:36:57

%S 1,49,1554,29701,481122,7959529,138035591,2413093119,41816203653,

%T 721412975758,12454301783794,215270870681652,3721658113926884,

%U 64326398063727814,1111713774851236084,19213432056113523213

%N Number of nX2 0..6 arrays with every nonzero element less than or equal to some NW, E or S neighbor

%C Column 2 of A203506

%H R. H. Hardin, <a href="/A203500/b203500.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 49*a(n-1) -1064*a(n-2) +14504*a(n-3) -139300*a(n-4) +974216*a(n-5) -5049458*a(n-6) +19784160*a(n-7) -59856834*a(n-8) +143372114*a(n-9) -282160674*a(n-10) +474196544*a(n-11) -679931029*a(n-12) +791307252*a(n-13) -707690496*a(n-14) +480221913*a(n-15) -265555686*a(n-16) +125326699*a(n-17) -42652674*a(n-18) +8555625*a(n-19)

%e Some solutions for n=5

%e ..5..5....6..1....1..1....3..4....4..3....2..5....2..5....3..1....4..3....2..0

%e ..5..5....6..4....3..6....4..4....4..6....1..5....1..5....3..1....6..6....2..0

%e ..3..4....6..1....6..6....1..4....5..6....5..5....1..6....3..5....2..6....4..2

%e ..6..2....6..1....1..6....6..4....6..6....3..5....6..6....5..5....3..0....4..1

%e ..6..6....6..6....0..0....6..6....2..6....0..1....5..6....0..5....3..3....4..4

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 02 2012