cp's OEIS Frontend

A219406 Unmatched value maps: number of n X 4 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 n X 4 array.

%I A219406 #8 Jul 26 2018 05:16:52
%S A219406 7,98,1199,14737,181089,2225293,27345143,336026564,4129209727,
%T A219406 50741147949,623524656508,7662085181924,94154334887381,
%U A219406 1157000812187473,14217623447617101,174711041141292808,2146909292479553912
%N A219406 Unmatched value maps: number of n X 4 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 n X 4 array.
%C A219406 Column 4 of A219410.
%H A219406 R. H. Hardin, <a href="/A219406/b219406.txt">Table of n, a(n) for n = 1..210</a>
%F A219406 Empirical: a(n) = 7*a(n-1) + 57*a(n-2) + 96*a(n-3) + 27*a(n-4) - 11*a(n-5) - 4*a(n-6).
%F A219406 Empirical g.f.: x*(1 + 2*x)*(7 + 35*x + 44*x^2 - 2*x^3 - 6*x^4) / (1 - 7*x - 57*x^2 - 96*x^3 - 27*x^4 + 11*x^5 + 4*x^6). - _Colin Barker_, Jul 26 2018
%e A219406 Some solutions for n=3:
%e A219406 ..1..1..1..1....1..0..1..1....1..1..0..0....1..0..0..0....1..0..0..0
%e A219406 ..1..0..0..0....0..1..0..1....1..0..0..1....1..0..1..1....1..0..1..1
%e A219406 ..1..0..0..0....1..0..1..1....1..0..1..1....0..0..0..1....0..1..1..1
%Y A219406 Cf. A219410.
%K A219406 nonn
%O A219406 1,1
%A A219406 _R. H. Hardin_, Nov 19 2012