cp's OEIS Frontend

A221444 Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nX6 array.

%I A221444 #6 Jul 23 2025 01:56:09
%S A221444 31,1577,76055,3669101,177320895,8569227073,414116287743,
%T A221444 20012580804813,967127817426727,46737411242830049,2258631763028702151,
%U A221444 109150620595639469645,5274812021536486627631,254910523741875128561121
%N A221444 Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nX6 array.
%C A221444 Column 6 of A221446
%H A221444 R. H. Hardin, <a href="/A221444/b221444.txt">Table of n, a(n) for n = 1..62</a>
%F A221444 Empirical: a(n) = 31*a(n-1) +737*a(n-2) +4637*a(n-3) +10078*a(n-4) +3446*a(n-5) -14110*a(n-6) -4246*a(n-7) -1045*a(n-8) +11211*a(n-9) -13907*a(n-10) +5385*a(n-11) -2232*a(n-12) +16*a(n-13) for n>15
%e A221444 Some solutions for n=3
%e A221444 ..0..1..1..0..1..0....0..1..0..0..1..1....1..0..1..1..1..1....1..1..1..1..1..1
%e A221444 ..0..1..1..1..1..0....1..1..0..1..1..1....1..0..1..0..0..1....1..1..1..1..1..1
%e A221444 ..1..1..1..0..0..1....0..1..0..0..1..1....1..0..1..1..1..0....0..1..1..0..1..1
%K A221444 nonn
%O A221444 1,1
%A A221444 _R. H. Hardin_ Jan 17 2013