cp's OEIS Frontend

A232311 Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.

%I A232311 #12 Jul 23 2025 07:17:38
%S A232311 16,139,1202,10409,90157,780922,6764246,58591124,507509767,4395993154,
%T A232311 38077604237,329823977717,2856898655026,24746138781034,
%U A232311 214348305112232,1856661207278099,16082193123986242,139302170295461137
%N A232311 Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.
%C A232311 Column 3 of A232316
%H A232311 R. H. Hardin, <a href="/A232311/b232311.txt">Table of n, a(n) for n = 1..210</a>
%F A232311 Empirical: a(n) = 10*a(n-1) -11*a(n-2) -5*a(n-3) -a(n-4).
%F A232311 Empirical: G.f.: -x*(-16+21*x+12*x^2+2*x^3) / ( 1-10*x+11*x^2+5*x^3+x^4 ). - _R. J. Mathar_, Nov 24 2013
%e A232311 Some.solutions.for.n=5
%e A232311 ..0..0..0..0....0..0..1..0....0..0..0..0....0..0..1..0....0..0..0..0
%e A232311 ..0..1..1..1....0..1..0..0....0..0..0..0....1..1..0..0....0..1..1..1
%e A232311 ..0..0..0..0....1..1..1..0....1..1..0..0....1..1..1..0....1..1..1..0
%e A232311 ..1..1..0..0....0..0..0..1....0..0..1..0....1..0..0..1....0..0..0..0
%e A232311 ..1..0..1..1....0..0..1..1....0..1..0..1....0..1..1..0....1..1..1..0
%e A232311 ..1..1..1..1....1..1..1..1....1..1..1..1....1..0..0..0....1..0..0..0
%K A232311 nonn
%O A232311 1,1
%A A232311 _R. H. Hardin_, Nov 22 2013