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A217982 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nXk array.

%I A217982 #8 Jul 22 2025 23:46:04
%S A217982 2,2,2,4,2,4,6,4,4,6,10,6,16,6,10,16,10,36,36,10,16,26,16,100,98,100,
%T A217982 16,26,42,26,256,362,362,256,26,42,68,42,676,1180,1942,1180,676,42,68,
%U A217982 110,68,1764,4046,8872,8872,4046,1764,68,110,178,110,4624,13594,43258,54504
%N A217982 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nXk array.
%C A217982 Table starts
%C A217982 ...2...2.....4.......6........10.........16...........26............42
%C A217982 ...2...2.....4.......6........10.........16...........26............42
%C A217982 ...4...4....16......36.......100........256..........676..........1764
%C A217982 ...6...6....36......98.......362.......1180.........4046.........13594
%C A217982 ..10..10...100.....362......1942.......8872........43258........205446
%C A217982 ..16..16...256....1180......8872......54504.......363728.......2347480
%C A217982 ..26..26...676....4046.....43258.....363728......3375350......30097566
%C A217982 ..42..42..1764...13594....205446....2347480.....30097566.....368335390
%C A217982 ..68..68..4624...46052....986288...15361400....272859916....4595712084
%C A217982 .110.110.12100..155494...4714274...99957900...2457033362...56890420330
%C A217982 .178.178.31684..525730..22573862..651962620..22187715406..706581935362
%C A217982 .288.288.82944.1776548.108013892.4248252712.200128757472.8763874097740
%H A217982 R. H. Hardin, <a href="/A217982/b217982.txt">Table of n, a(n) for n = 1..287</a>
%H A217982 J. Gebel, <a href="/A001014/a001014.txt">Integer points on Mordell curves</a> [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]
%e A217982 Some solutions for n=3 k=4
%e A217982 ..0..0..0..0....0..0..1..1....0..0..0..1....1..1..1..1....1..1..0..0
%e A217982 ..0..0..0..0....0..0..1..1....0..0..0..1....0..0..0..1....1..1..0..0
%e A217982 ..1..1..1..1....0..0..1..1....1..1..1..1....0..0..0..1....1..1..1..1
%Y A217982 Columns 1 and 2 are A006355(n+1)
%Y A217982 Column 3 is A206981(n-1)
%K A217982 nonn,tabl
%O A217982 1,1
%A A217982 _R. H. Hardin_ Oct 16 2012