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A218894 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..1 nX5 array.

%I A218894 #6 Jul 23 2025 00:07:57
%S A218894 10,86,786,6280,54726,463746,3960146,33785542,288335090,2461034914,
%T A218894 21006978672,179319456042,1530738564878,13067135278520,
%U A218894 111548343657960,952243061730174,8128934949226332,69393715746097124,592389051962076448
%N A218894 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..1 nX5 array.
%C A218894 Column 5 of A218897
%H A218894 R. H. Hardin, <a href="/A218894/b218894.txt">Table of n, a(n) for n = 1..128</a>
%F A218894 Empirical: a(n) = 12*a(n-1) -13*a(n-2) -154*a(n-3) -64*a(n-4) +1337*a(n-5) +1762*a(n-6) -4536*a(n-7) -11750*a(n-8) +3034*a(n-9) +33505*a(n-10) +16287*a(n-11) -53890*a(n-12) -50327*a(n-13) +94513*a(n-14) +109573*a(n-15) -153231*a(n-16) -236409*a(n-17) +131361*a(n-18) +324124*a(n-19) -42391*a(n-20) -192220*a(n-21) +114526*a(n-22) +130510*a(n-23) -108443*a(n-24) -223161*a(n-25) -66803*a(n-26) +28885*a(n-27) +14553*a(n-28) +44272*a(n-29) +50715*a(n-30) +26319*a(n-31) +1067*a(n-32) +4726*a(n-33) -18580*a(n-34) -3660*a(n-35) -1512*a(n-36) +64*a(n-37)
%e A218894 Some solutions for n=3
%e A218894 ..1..0..1..0..0....0..0..0..0..1....1..0..0..0..1....0..0..1..0..0
%e A218894 ..1..0..0..0..1....0..0..0..0..0....0..0..0..0..1....0..0..1..0..0
%e A218894 ..1..0..1..0..0....1..0..0..0..1....1..0..0..0..0....0..0..1..0..0
%K A218894 nonn
%O A218894 1,1
%A A218894 _R. H. Hardin_ Nov 08 2012