cp's OEIS Frontend

A300811 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%I A300811 #4 Mar 13 2018 07:54:53
%S A300811 1,2,2,4,8,4,8,29,29,8,16,108,170,108,16,32,401,1004,1004,401,32,64,
%T A300811 1490,5908,9504,5908,1490,64,128,5536,34836,90980,90980,34836,5536,
%U A300811 128,256,20569,205369,872495,1415898,872495,205369,20569,256,512,76424,1210811
%N A300811 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C A300811 Table starts
%C A300811 ...1.....2.......4.........8..........16............32..............64
%C A300811 ...2.....8......29.......108.........401..........1490............5536
%C A300811 ...4....29.....170......1004........5908.........34836..........205369
%C A300811 ...8...108....1004......9504.......90980........872495.........8363710
%C A300811 ..16...401....5908.....90980.....1415898......22066384.......343667594
%C A300811 ..32..1490...34836....872495....22066384.....559634028.....14189038853
%C A300811 ..64..5536..205369...8363710...343667594...14189038853....585611214958
%C A300811 .128.20569.1210811..80174942..5352803078..359766695966..24166702223161
%C A300811 .256.76424.7138574.768542846.83370618870.9121562946307.997271941003944
%H A300811 R. H. Hardin, <a href="/A300811/b300811.txt">Table of n, a(n) for n = 1..199</a>
%F A300811 Empirical for column k:
%F A300811 k=1: a(n) = 2*a(n-1)
%F A300811 k=2: a(n) = 3*a(n-1) +3*a(n-2) -a(n-3) -a(n-4)
%F A300811 k=3: [order 13]
%F A300811 k=4: [order 40]
%e A300811 Some solutions for n=5 k=4
%e A300811 ..0..0..0..1. .0..0..1..0. .0..1..1..1. .0..0..0..0. .0..0..0..0
%e A300811 ..0..1..0..0. .0..1..1..0. .0..0..0..1. .0..1..1..1. .1..1..1..1
%e A300811 ..0..1..1..1. .0..1..0..1. .0..1..1..1. .0..0..0..0. .0..0..1..0
%e A300811 ..0..0..1..1. .1..0..1..0. .1..1..1..0. .1..1..0..1. .0..0..0..1
%e A300811 ..0..1..1..0. .0..0..1..0. .0..1..1..0. .0..0..1..0. .1..1..0..0
%Y A300811 Column 1 is A000079(n-1).
%Y A300811 Column 2 is A220547.
%K A300811 nonn,tabl
%O A300811 1,2
%A A300811 _R. H. Hardin_, Mar 13 2018