cp's OEIS Frontend

A219441 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array.

%I A219441 #6 Jul 23 2025 00:27:46
%S A219441 1,2,1,4,6,1,7,18,18,1,12,39,78,47,1,21,96,281,329,134,1,37,225,1072,
%T A219441 1750,1396,373,1,65,543,4033,10157,11283,5925,1035,1,114,1293,15255,
%U A219441 57249,98584,72272,25147,2889,1,200,3096,57963,326938,844553,952625
%N A219441 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array.
%C A219441 Table starts
%C A219441 .1......2........4..........7...........12............21.............37
%C A219441 .1......6.......18.........39...........96...........225............543
%C A219441 .1.....18.......78........281.........1072..........4033..........15255
%C A219441 .1.....47......329.......1750........10157.........57249.........326938
%C A219441 .1....134.....1396......11283........98584........844553........7285283
%C A219441 .1....373.....5925......72272.......952625......12323337......160436482
%C A219441 .1...1035....25147.....465400......9230353.....180983751.....3553813654
%C A219441 .1...2889...106731....2995163.....89418051....2656615237....78682793897
%C A219441 .1...8050...452984...19264275....865738604...38958452805..1739719764661
%C A219441 .1..22420..1922547..123892153...8382034095..571246999054.38456568548417
%C A219441 .1..62477..8159665..796864416..81160468697.8377493560653
%C A219441 .1.174072.34631193.5125652937.785871654803
%H A219441 R. H. Hardin, <a href="/A219441/b219441.txt">Table of n, a(n) for n = 1..143</a>
%e A219441 Some solutions for n=3 k=4
%e A219441 ..0..0..0..0....1..0..1..0....0..0..0..1....0..0..1..1....1..0..0..1
%e A219441 ..1..0..0..1....0..0..0..0....0..1..0..0....0..0..1..1....0..0..0..1
%e A219441 ..1..0..0..0....1..0..1..0....1..1..0..1....0..0..1..1....0..1..0..0
%Y A219441 Column 2 is A218759
%Y A219441 Row 1 is A005251(n+2)
%Y A219441 Row 2 is A219143
%Y A219441 Row 3 is A219144
%K A219441 nonn,tabl
%O A219441 1,2
%A A219441 _R. H. Hardin_ Nov 20 2012