cp's OEIS Frontend

A188523 T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically or horizontally.

%I A188523 #7 Jul 22 2025 11:15:36
%S A188523 2,4,4,7,16,7,12,49,49,12,20,144,229,144,20,33,400,1016,1016,400,33,
%T A188523 54,1089,4143,6760,4143,1089,54,88,2916,16438,40230,40230,16438,2916,
%U A188523 88,143,7744,63575,231400,342240,231400,63575,7744,143,232,20449,242843,1286120
%N A188523 T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically or horizontally.
%C A188523 Table starts
%C A188523 ...2.....4.......7........12.........20...........33.............54
%C A188523 ...4....16......49.......144........400.........1089...........2916
%C A188523 ...7....49.....229......1016.......4143........16438..........63575
%C A188523 ..12...144....1016......6760......40230.......231400........1286120
%C A188523 ..20...400....4143.....40230.....342240......2800798.......22015314
%C A188523 ..33..1089...16438....231400....2800798.....32470385......359696109
%C A188523 ..54..2916...63575...1286120...22015314....359696109.....5593606875
%C A188523 ..88..7744..242843...7034258..169875850...3903047802....85072486586
%C A188523 .143.20449..918833..37987114.1291198707..41642655120..1270511986433
%C A188523 .232.53824.3457086.203649331.9730141740.440047202716.18779814902475
%H A188523 R. H. Hardin, <a href="/A188523/b188523.txt">Table of n, a(n) for n = 1..420</a>
%e A188523 Some solutions for 5X3
%e A188523 ..0..1..0....1..0..1....1..0..0....1..0..0....0..1..1....0..1..1....0..0..1
%e A188523 ..1..0..1....0..1..0....0..0..0....0..0..0....0..0..0....1..0..1....0..1..0
%e A188523 ..0..0..1....0..1..1....0..1..1....0..1..0....0..0..0....0..0..1....0..0..0
%e A188523 ..0..0..1....0..1..0....0..1..0....1..0..0....0..1..0....1..0..1....1..1..1
%e A188523 ..1..1..1....1..1..1....0..1..0....0..0..1....0..0..0....1..1..1....0..0..1
%Y A188523 Column 1 is A000071(n+3)
%K A188523 nonn,tabl
%O A188523 1,1
%A A188523 _R. H. Hardin_ Apr 02 2011