A218893 - OEIS

A218893

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

%I #6 Dec 29 2023 10:04:41

%S 6,34,212,1096,6422,35812,202662,1143320,6451714,36412818,205486910,

%T 1159668470,6544517458,36933689524,208433556616,1176284907448,

%U 6638308849796,37462983914486,211420591173616,1193142178688764

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

%C Column 4 of A218897.

%H R. H. Hardin, <a href="/A218893/b218893.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +3*a(n-2) -25*a(n-3) -29*a(n-4) +53*a(n-5) +33*a(n-6) +12*a(n-7) -38*a(n-8) -18*a(n-10) +12*a(n-11) -15*a(n-12) +7*a(n-13) +4*a(n-14).

%e Some solutions for n=3

%e ..1..0..1..1....0..0..0..0....1..1..1..1....1..1..0..0....1..1..1..1

%e ..0..0..1..0....0..0..0..0....0..0..0..0....0..0..0..0....0..1..0..1

%e ..1..0..0..0....1..1..1..1....0..0..0..0....0..0..0..1....0..0..0..1

%Y Cf. A218897.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2012