cp's OEIS Frontend

A189264 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally.

%I A189264 #7 Jul 22 2025 11:39:02
%S A189264 2,4,4,7,16,8,12,49,64,16,20,144,280,256,32,33,400,1156,1600,1024,64,
%T A189264 54,1089,4720,8900,8985,4096,128,88,2916,18960,52748,65760,50397,
%U A189264 16384,256,143,7744,74869,308266,552752,481552,282332,65536,512,232,20449,293495
%N A189264 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally.
%C A189264 Table starts
%C A189264 ....2.......4........7.........12..........20............33..............54
%C A189264 ....4......16.......49........144.........400..........1089............2916
%C A189264 ....8......64......280.......1156........4720.........18960...........74869
%C A189264 ...16.....256.....1600.......8900.......52748........308266.........1771206
%C A189264 ...32....1024.....8985......65760......552752.......4628486........38600001
%C A189264 ...64....4096....50397.....481552.....5746968......68635317.......830564651
%C A189264 ..128...16384...282332....3510380....59399960....1010709182.....17747766886
%C A189264 ..256...65536..1581428...25556548...613358776...14861981162....379055775099
%C A189264 ..512..262144..8857677..185975588..6329670680..218354201468...8092834825779
%C A189264 .1024.1048576.49611209.1353139492.65317473848.3207581304325.172797606124166
%H A189264 R. H. Hardin, <a href="/A189264/b189264.txt">Table of n, a(n) for n = 1..362</a>
%e A189264 Some solutions for 5X3
%e A189264 ..0..0..0....1..0..0....0..1..0....1..0..1....1..0..0....1..0..0....0..1..0
%e A189264 ..1..1..1....1..1..0....0..1..0....0..0..0....0..1..1....0..1..1....1..1..1
%e A189264 ..1..1..0....0..1..0....0..1..1....0..0..0....1..1..1....1..1..1....1..0..1
%e A189264 ..1..1..1....0..1..0....1..1..1....0..1..0....1..1..1....1..0..0....1..0..1
%e A189264 ..0..0..0....0..0..0....1..0..0....1..0..1....0..1..0....1..0..1....1..0..0
%Y A189264 Row 1 is A000071(n+3)
%Y A189264 Row 2 is A188516
%K A189264 nonn,tabl
%O A189264 1,1
%A A189264 _R. H. Hardin_ Apr 19 2011