# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a237567 Showing 1-1 of 1 %I A237567 #4 Feb 09 2014 06:59:02 %S A237567 81,316,316,1256,1536,1256,4984,7356,7356,4984,19900,36168,44828, %T A237567 36168,19900,78144,175768,272828,272828,175768,78144,311512,848720, %U A237567 1668300,2161168,1668300,848720,311512,1227648,4121060,10006572,16418704 %N A237567 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one %C A237567 Table starts %C A237567 .......81.......316........1256.........4984..........19900...........78144 %C A237567 ......316......1536........7356........36168.........175768..........848720 %C A237567 .....1256......7356.......44828.......272828........1668300........10006572 %C A237567 .....4984.....36168......272828......2161168.......16418704.......126608036 %C A237567 ....19900....175768.....1668300.....16418704......159014170......1518590620 %C A237567 ....78144....848720....10006572....126608036.....1518590620.....18615658788 %C A237567 ...311512...4121060....61521086....977290740....14891233160....228407442348 %C A237567 ..1227648..20050460...369916012...7535608804...142803584684...2815624842216 %C A237567 ..4896848..97225972..2269219612..58063606256..1403992115612..34622654326396 %C A237567 .19273664.471641072.13640047444.448289864392.13464379623752.426711928933956 %H A237567 R. H. Hardin, Table of n, a(n) for n = 1..127 %F A237567 Empirical for column k: %F A237567 k=1: a(n) = 4*a(n-2) +140*a(n-4) +632*a(n-6) +864*a(n-8) for n>9 %F A237567 k=2: [order 17] %F A237567 k=3: [order 60] for n>63 %e A237567 Some solutions for n=3 k=4 %e A237567 ..1..0..0..1..1....0..0..1..0..1....0..2..2..1..2....0..1..1..2..2 %e A237567 ..0..1..0..2..1....0..0..1..1..0....1..2..2..1..0....0..2..0..2..1 %e A237567 ..2..1..0..2..1....1..1..2..2..1....0..1..1..1..0....0..2..1..1..2 %e A237567 ..2..1..2..1..0....0..2..0..0..2....0..1..0..0..0....2..1..0..0..1 %K A237567 nonn,tabl %O A237567 1,1 %A A237567 _R. H. Hardin_, Feb 09 2014 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE