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A217633 Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..1 n X 4 array.

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%I A217633 #10 Oct 28 2023 11:32:26
%S A217633 6,38,244,1418,8706,52120,315378,1900838,11472148,69210290,417586442,
%T A217633 2519466108,15201104542,91714930026,553357475040,3338651662490,
%U A217633 20143579337906,121535200857060,733276159043790,4424182455856594,26693068489330768,161051201588069830,971693816818476190
%N A217633 Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..1 n X 4 array.
%H A217633 R. H. Hardin, <a href="/A217633/b217633.txt">Table of n, a(n) for n = 1..64</a>
%F A217633 Empirical: a(n) = 4*a(n-1) +20*a(n-2) -29*a(n-3) -124*a(n-4) +55*a(n-5) +330*a(n-6) -57*a(n-7) -498*a(n-8) -291*a(n-9) +965*a(n-10) +676*a(n-11) -991*a(n-12) -659*a(n-13) +771*a(n-14) +610*a(n-15) -581*a(n-16) -78*a(n-17) -36*a(n-18) +32*a(n-19) -94*a(n-20) +32*a(n-21) +68*a(n-22) -16*a(n-23).
%e A217633 Some solutions for n=3:
%e A217633 ..0..1..1..0....0..0..0..0....0..1..0..0....0..1..0..1....0..0..0..1
%e A217633 ..0..0..0..0....0..0..0..1....0..0..1..0....0..0..0..0....1..0..0..0
%e A217633 ..0..1..0..0....0..0..1..1....0..1..0..0....0..0..0..0....0..0..0..1
%Y A217633 Column 4 of A217637.
%K A217633 nonn
%O A217633 1,1
%A A217633 _R. H. Hardin_, Oct 09 2012