cp's OEIS Frontend

A188774 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 vertically or horizontally.

%I A188774 #7 Jul 22 2025 11:22:46
%S A188774 2,4,4,7,16,7,12,49,49,12,21,144,240,144,21,37,441,1103,1103,441,37,
%T A188774 65,1369,5357,7868,5357,1369,65,114,4225,26564,60215,60215,26564,4225,
%U A188774 114,200,12996,130828,471349,738031,471349,130828,12996,200,351,40000,641137
%N A188774 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 vertically or horizontally.
%C A188774 Table starts
%C A188774 ...2......4........7.........12...........21.............37...............65
%C A188774 ...4.....16.......49........144..........441...........1369.............4225
%C A188774 ...7.....49......240.......1103.........5357..........26564...........130828
%C A188774 ..12....144.....1103.......7868........60215.........471349..........3658041
%C A188774 ..21....441.....5357......60215.......738031........9260851........114928827
%C A188774 ..37...1369....26564.....471349......9260851......186969392.......3725504150
%C A188774 ..65...4225...130828....3658041....114928827.....3725504150.....118984786902
%C A188774 .114..12996...641137...28240356...1418719059....73772281769....3772804871287
%C A188774 .200..40000..3143331..218167554..17534258973..1462969839335..119816916752612
%C A188774 .351.123201.15426387.1687182731.216934553467.29048017912245.3810670337663147
%H A188774 R. H. Hardin, <a href="/A188774/b188774.txt">Table of n, a(n) for n = 1..287</a>
%e A188774 Some solutions for 5X3
%e A188774 ..0..1..1....1..1..1....1..1..0....0..0..1....0..0..1....0..0..0....1..0..0
%e A188774 ..0..0..0....1..1..0....1..1..0....0..0..0....1..0..1....0..0..0....1..1..1
%e A188774 ..1..1..0....0..0..0....1..0..0....0..0..1....1..0..1....0..0..1....1..1..1
%e A188774 ..1..1..1....0..0..1....1..1..1....0..1..1....1..0..0....0..0..1....0..0..1
%e A188774 ..0..1..1....0..1..1....0..1..1....1..1..1....0..0..0....1..0..0....0..0..1
%Y A188774 Column 1 is A005251(n+3)
%Y A188774 Column 2 is A188501
%K A188774 nonn,tabl
%O A188774 1,1
%A A188774 _R. H. Hardin_ Apr 09 2011