cp's OEIS Frontend

A188508 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, vertically or horizontally.

%I A188508 #7 Jul 22 2025 11:14:33
%S A188508 2,4,4,7,16,7,12,49,49,12,21,144,229,144,21,37,441,971,971,441,37,65,
%T A188508 1369,4351,5626,4351,1369,65,114,4225,20124,35079,35079,20124,4225,
%U A188508 114,200,12996,92597,230877,317751,230877,92597,12996,200,351,40000,423074
%N A188508 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, vertically or horizontally.
%C A188508 Table starts
%C A188508 ...2......4.......7........12..........21............37..............65
%C A188508 ...4.....16......49.......144.........441..........1369............4225
%C A188508 ...7.....49.....229.......971........4351.........20124...........92597
%C A188508 ..12....144.....971......5626.......35079........230877.........1512392
%C A188508 ..21....441....4351.....35079......317751.......3121877........30288308
%C A188508 ..37...1369...20124....230877.....3121877......47153387.......697038111
%C A188508 ..65...4225...92597...1512392....30288308.....697038111.....15602080066
%C A188508 .114..12996..423074...9787958...288040928...10000092025....335304991524
%C A188508 .200..40000.1932355..63259244..2737303569..143394872372...7194757384224
%C A188508 .351.123201.8836938.409715970.26117921403.2069826687060.155853551899068
%H A188508 R. H. Hardin, <a href="/A188508/b188508.txt">Table of n, a(n) for n = 1..337</a>
%e A188508 Some solutions for 5X3
%e A188508 ..1..1..0....1..0..1....0..1..1....1..0..0....1..1..1....1..1..1....0..0..0
%e A188508 ..1..1..0....1..1..1....1..0..1....1..1..1....1..0..0....1..1..1....1..0..0
%e A188508 ..1..1..1....1..1..1....1..0..0....1..1..1....1..0..0....1..0..1....1..1..1
%e A188508 ..0..1..1....1..0..1....0..0..0....1..1..1....0..0..1....1..1..0....0..1..1
%e A188508 ..0..0..0....0..0..1....0..0..1....0..0..0....0..0..1....1..1..0....0..0..0
%Y A188508 Column 1 is A005251(n+3)
%K A188508 nonn,tabl
%O A188508 1,1
%A A188508 _R. H. Hardin_ Apr 02 2011