# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a296157 Showing 1-1 of 1 %I A296157 #4 Dec 06 2017 08:38:17 %S A296157 1,1,1,1,2,1,1,4,4,1,1,7,9,7,1,1,12,16,16,12,1,1,21,34,32,34,21,1,1, %T A296157 37,76,91,91,76,37,1,1,65,157,237,341,237,157,65,1,1,114,325,585,1150, %U A296157 1150,585,325,114,1,1,200,692,1513,3775,5171,3775,1513,692,200,1,1,351,1459 %N A296157 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 3 or 5 king-move neighboring 1s. %C A296157 Table starts %C A296157 .1...1...1....1.....1......1.......1........1.........1..........1...........1 %C A296157 .1...2...4....7....12.....21......37.......65.......114........200.........351 %C A296157 .1...4...9...16....34.....76.....157......325.......692.......1459........3064 %C A296157 .1...7..16...32....91....237.....585.....1513......3908......10086.......26367 %C A296157 .1..12..34...91...341...1150....3775....12798.....43185.....146144......496975 %C A296157 .1..21..76..237..1150...5171...21087....90404....396578....1708355.....7449218 %C A296157 .1..37.157..585..3775..21087..108933...605121...3383481...18933967...108596954 %C A296157 .1..65.325.1513.12798..90404..605121..4342381..31360402..230562749..1738478648 %C A296157 .1.114.692.3908.43185.396578.3383481.31360402.296784399.2857761925.28501758381 %H A296157 R. H. Hardin, Table of n, a(n) for n = 1..220 %F A296157 Empirical for column k: %F A296157 k=1: a(n) = a(n-1) %F A296157 k=2: a(n) = 2*a(n-1) -a(n-2) +a(n-3) %F A296157 k=3: [order 15] %F A296157 k=4: [order 43] %e A296157 Some solutions for n=7 k=4 %e A296157 ..0..0..0..0. .0..0..0..0. .0..0..0..0. .1..1..1..1. .1..1..1..1 %e A296157 ..1..1..1..1. .1..1..1..1. .0..1..1..0. .1..1..1..1. .1..1..1..1 %e A296157 ..1..1..1..1. .1..1..1..1. .0..1..1..0. .0..0..0..0. .0..0..0..0 %e A296157 ..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..1 %e A296157 ..1..1..0..0. .0..1..1..0. .0..0..0..0. .1..1..1..1. .0..0..1..1 %e A296157 ..1..1..0..0. .0..1..1..0. .0..0..1..1. .1..1..1..1. .0..0..1..1 %e A296157 ..0..0..0..0. .0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..0..0 %Y A296157 Column 2 is A005251(n+2). %K A296157 nonn,tabl %O A296157 1,5 %A A296157 _R. H. Hardin_, Dec 06 2017 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE