# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a304926 Showing 1-1 of 1 %I A304926 #4 May 21 2018 09:16:42 %S A304926 1,2,2,4,4,4,8,5,5,8,16,9,15,9,16,32,22,31,31,22,32,64,45,73,87,73,45, %T A304926 64,128,101,191,266,266,191,101,128,256,218,466,851,1054,851,466,218, %U A304926 256,512,477,1125,2510,4186,4186,2510,1125,477,512,1024,1041,2762,7348,16158 %N A304926 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 5 or 7 king-move adjacent elements, with upper left element zero. %C A304926 Table starts %C A304926 ...1...2....4.....8.....16......32.......64.......128........256.........512 %C A304926 ...2...4....5.....9.....22......45......101.......218........477........1041 %C A304926 ...4...5...15....31.....73.....191......466......1125.......2762........6805 %C A304926 ...8...9...31....87....266.....851.....2510......7348......21910.......65581 %C A304926 ..16..22...73...266...1054....4186....16158.....63555.....251536......988178 %C A304926 ..32..45..191...851...4186...21214...104451....524286....2629697....13159898 %C A304926 ..64.101..466..2510..16158..104451...649029...4123792...26044218...164807242 %C A304926 .128.218.1125..7348..63555..524286..4123792..33757130..273455401..2220694647 %C A304926 .256.477.2762.21910.251536.2629697.26044218.273455401.2831764125.29378878160 %H A304926 R. H. Hardin, Table of n, a(n) for n = 1..337 %F A304926 Empirical for column k: %F A304926 k=1: a(n) = 2*a(n-1) %F A304926 k=2: a(n) = a(n-1) +3*a(n-2) -2*a(n-4) for n>6 %F A304926 k=3: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) +2*a(n-4) -2*a(n-5) -7*a(n-6) -6*a(n-7) for n>9 %F A304926 k=4: [order 13] for n>18 %F A304926 k=5: [order 34] for n>41 %F A304926 k=6: [order 96] for n>103 %e A304926 Some solutions for n=5 k=4 %e A304926 ..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..1..1..1 %e A304926 ..1..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..1. .1..0..1..1 %e A304926 ..0..0..0..0. .0..0..0..0. .0..0..0..0. .1..0..0..0. .1..1..1..1 %e A304926 ..0..0..0..0. .0..0..1..0. .0..0..0..0. .0..0..0..1. .1..1..1..0 %e A304926 ..0..0..1..0. .0..0..0..1. .0..0..1..0. .0..1..0..0. .1..0..1..1 %Y A304926 Column 1 is A000079(n-1). %Y A304926 Column 2 is A052962 for n>2. %K A304926 nonn,tabl %O A304926 1,2 %A A304926 _R. H. Hardin_, May 21 2018 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE