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A218897 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..1 nXk array.

%I A218897 #6 Jul 23 2025 00:08:18
%S A218897 2,2,4,4,6,8,6,18,16,16,10,34,72,38,32,16,86,212,286,98,64,26,180,786,
%T A218897 1096,1162,244,128,42,426,2594,6280,6422,4700,614,256,68,930,9110,
%U A218897 28598,54726,35812,19046,1542,512,110,2140,31062,149238,373612,463746,202662
%N A218897 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..1 nXk array.
%C A218897 Table starts
%C A218897 ....2.....2........4..........6...........10.............16...............26
%C A218897 ....4.....6.......18.........34...........86............180..............426
%C A218897 ....8....16.......72........212..........786...........2594.............9110
%C A218897 ...16....38......286.......1096.........6280..........28598...........149238
%C A218897 ...32....98.....1162.......6422........54726.........373612..........2880294
%C A218897 ...64...244.....4700......35812.......463746........4575512.........52413310
%C A218897 ..128...614....19046.....202662......3960146.......57116962........969423130
%C A218897 ..256..1542....77198....1143320.....33785542......710022390......17870306268
%C A218897 ..512..3872...312944....6451714....288335090.....8831593874.....329607859688
%C A218897 .1024..9726..1268694...36412818...2461034914...109858747456....6079480914622
%C A218897 .2048.24426..5143506..205486910..21006978672..1366468080924..112133703714680
%C A218897 .4096.61348.20852924.1159668470.179319456042.16997248406138.2068302082008760
%H A218897 R. H. Hardin, <a href="/A218897/b218897.txt">Table of n, a(n) for n = 1..199</a>
%e A218897 Some solutions for n=3 k=4
%e A218897 ..0..0..0..0....1..1..0..1....1..1..0..1....1..0..0..0....1..0..1..0
%e A218897 ..1..0..1..0....1..0..0..0....1..0..0..0....0..0..0..0....0..0..0..0
%e A218897 ..1..0..0..0....1..0..0..0....0..0..0..1....0..0..1..1....0..0..1..0
%Y A218897 Column 2 is A217631
%Y A218897 Row 1 is A006355(n+1)
%K A218897 nonn,tabl
%O A218897 1,1
%A A218897 _R. H. Hardin_ Nov 08 2012