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A203185 Number of n X 2 0..4 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor. 1

%I #7 Jan 15 2022 23:07:20

%S 5,165,3209,53233,904175,15703631,271942421,4694586685,81072693659,

%T 1400687275175,24198485401075,418031304578759,7221573611135109,

%U 124755169399163453,2155187028114381493,37231528687477204117

%N Number of n X 2 0..4 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.

%C Column 2 of A203191.

%H R. H. Hardin, <a href="/A203185/b203185.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) -15*a(n-2) +821*a(n-3) +1430*a(n-4) +9500*a(n-5) +11557*a(n-6) +27197*a(n-7) +15316*a(n-8) +14400*a(n-9).

%e Some solutions for n=4

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

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

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

%e ..2..0....0..4....2..2....4..4....0..0....3..0....4..4....2..2....0..0....4..4

%Y Cf. A203191.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2011

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Last modified August 27 18:02 EDT 2024. Contains 375471 sequences. (Running on oeis4.)