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A218900 Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..1 4Xn array.

%I A218900 #8 Jul 23 2025 00:08:58
%S A218900 16,38,286,1096,6280,28598,149238,722094,3651696,18021788,90208322,
%T A218900 448024152,2235168520,11123412124,55435126828,276050589212,
%U A218900 1375270796150,6849815881386,34121765700892,169961133958828,846617625629670
%N A218900 Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..1 4Xn array.
%C A218900 Row 4 of A218897
%H A218900 R. H. Hardin, <a href="/A218900/b218900.txt">Table of n, a(n) for n = 1..210</a>
%F A218900 Empirical: a(n) = 3*a(n-1) +16*a(n-2) -16*a(n-3) -51*a(n-4) -107*a(n-5) -115*a(n-6) +457*a(n-7) +511*a(n-8) +617*a(n-9) -294*a(n-10) -2046*a(n-11) -1191*a(n-12) -307*a(n-13) +1059*a(n-14) +3506*a(n-15) -419*a(n-16) -2054*a(n-17) -800*a(n-18) -301*a(n-19) +699*a(n-20) +1069*a(n-21) +108*a(n-22) -403*a(n-23) -292*a(n-24) -177*a(n-25) +156*a(n-26) +98*a(n-27) +52*a(n-28) -72*a(n-29) +8*a(n-30)
%e A218900 Some solutions for n=3
%e A218900 ..1..0..0....1..0..0....1..0..1....0..0..1....0..0..0....0..0..1....1..0..1
%e A218900 ..1..0..1....1..0..0....0..0..1....0..0..0....1..0..0....1..0..1....0..0..0
%e A218900 ..0..0..0....0..0..0....1..0..1....0..0..1....1..0..1....1..0..1....1..0..0
%e A218900 ..1..0..1....1..0..0....0..0..1....0..0..0....0..0..1....1..0..0....0..0..1
%K A218900 nonn
%O A218900 1,1
%A A218900 _R. H. Hardin_ Nov 08 2012