A219060 - OEIS

%I #4 Nov 11 2012 06:22:23

%S 25,993,32313,1030457,32958333,1054361217,33731920377,1079168990473,

%T 34525267140421,1104548251723921,35337216591063957,

%U 1130524520728419705,36168261542737956813,1157111693607114751041,37018850627063603301485

%N Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nX5 array

%C Column 5 of A219063

%H R. H. Hardin, <a href="/A219060/b219060.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 28*a(n-1) +110*a(n-2) +489*a(n-3) +1905*a(n-4) +18806*a(n-5) +7104*a(n-6) +44931*a(n-7) +115437*a(n-8) +792664*a(n-9) -2178978*a(n-10) +305339*a(n-11) -3082246*a(n-12) -6015354*a(n-13) -1186694*a(n-14) +3976166*a(n-15) +2138389*a(n-16) +9437494*a(n-17) +10047612*a(n-18) +2259507*a(n-19) -5831699*a(n-20) -2301084*a(n-21) -5320482*a(n-22) -3891345*a(n-23) -1499484*a(n-24) +5947466*a(n-25) -809446*a(n-26) +270372*a(n-27) -1403453*a(n-28) +760522*a(n-29) -3320432*a(n-30) +505697*a(n-31) +381095*a(n-32) +489288*a(n-33) -67734*a(n-34) +857945*a(n-35) +213222*a(n-36) -211110*a(n-37) +2526*a(n-38) -111222*a(n-39) -102345*a(n-40) -28374*a(n-41) +30420*a(n-42) +2025*a(n-43) +22815*a(n-44) +3420*a(n-45) -5670*a(n-46) -675*a(n-47) -675*a(n-48) -1350*a(n-49) +675*a(n-51)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 11 2012