cp's OEIS Frontend

A188874 T(n,k)=Number of nXk binary arrays without the pattern 0 0 0 antidiagonally or horizontally.

%I A188874 #7 Jul 22 2025 11:26:43
%S A188874 2,4,4,7,16,8,13,49,64,16,24,169,316,256,32,44,576,1901,2032,1024,64,
%T A188874 81,1936,11332,21937,13045,4096,128,149,6561,65656,233756,252932,
%U A188874 83737,16384,256,274,22201,385700,2368612,4805140,2915832,537496,65536,512,504
%N A188874 T(n,k)=Number of nXk binary arrays without the pattern 0 0 0 antidiagonally or horizontally.
%C A188874 Table starts
%C A188874 ....2.......4.........7..........13.............24...............44
%C A188874 ....4......16........49.........169............576.............1936
%C A188874 ....8......64.......316........1901..........11332............65656
%C A188874 ...16.....256......2032.......21937.........233756..........2368612
%C A188874 ...32....1024.....13045......252932........4805140.........84965120
%C A188874 ...64....4096.....83737.....2915832.......98892196.......3043939392
%C A188874 ..128...16384....537496....33617513.....2035428944.....109002398784
%C A188874 ..256...65536...3450100...387583973....41894114820....3903192037184
%C A188874 ..512..262144..22145617..4468546833...862288002496..139764515932928
%C A188874 .1024.1048576.142149013.51518943080.17748103310980.5004636736643072
%H A188874 R. H. Hardin, <a href="/A188874/b188874.txt">Table of n, a(n) for n = 1..642</a>
%e A188874 Some solutions for 5X3
%e A188874 ..1..0..1....1..0..0....0..1..1....1..0..0....0..0..1....1..0..0....0..1..0
%e A188874 ..0..1..1....1..0..0....1..0..0....1..0..1....0..1..1....1..0..0....0..1..1
%e A188874 ..1..1..0....1..1..0....1..1..0....1..1..1....1..1..1....1..1..1....1..0..0
%e A188874 ..1..1..1....0..1..0....1..1..1....0..0..1....1..0..0....1..0..0....0..1..1
%e A188874 ..1..0..0....1..1..0....1..1..0....1..1..0....1..0..0....0..0..1....1..0..1
%Y A188874 Column 2 is Column 1 squared
%Y A188874 Row 1 is A000073(n+3)
%Y A188874 Row 2 is A085697(n+1)
%K A188874 nonn,tabl
%O A188874 1,1
%A A188874 _R. H. Hardin_ Apr 12 2011