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A238306 Number of (n+1) X (1+1) 0..3 arrays with the maximum minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. 1

%I #7 Apr 25 2023 15:30:37

%S 256,1776,12372,85984,601408,4181152,29228452,203246304,1421071696,

%T 9880770000,69080413972,480334502816,3358287402480,23350820066560,

%U 163257404108900,1135164126221856,7936527281285216,55184332702741168

%N Number of (n+1) X (1+1) 0..3 arrays with the maximum minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

%C Column 1 of A238311.

%H R. H. Hardin, <a href="/A238306/b238306.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 1419*a(n-4) +36268*a(n-6) +410501*a(n-8) +2593208*a(n-10) +10304257*a(n-12) +28327948*a(n-14) +55782736*a(n-16) +83338496*a(n-18) +93171712*a(n-20) +85534720*a(n-22) +49102848*a(n-24) +25690112*a(n-26).

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A238311.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 24 2014

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Last modified July 15 19:27 EDT 2024. Contains 374334 sequences. (Running on oeis4.)