# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a232077 Showing 1-1 of 1 %I A232077 #7 Mar 19 2018 06:57:31 %S A232077 3,15,46,161,601,2208,8053,29415,107534,393061,1436589,5250624, %T A232077 19190841,70141747,256364934,937002409,3424702513,12517136672, %U A232077 45749581901,167212702063,611155044830,2233744710845,8164238313221,29839930638080 %N A232077 Number of (1+1) X (n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero. %C A232077 Row 1 of A232076. %H A232077 R. H. Hardin, Table of n, a(n) for n = 1..210 %F A232077 Empirical: a(n) = 3*a(n-1) + a(n-2) + 4*a(n-3) + 4*a(n-4). %F A232077 Empirical g.f.: x*(1 + 2*x)*(3 - 2*x^2) / (1 - 3*x - x^2 - 4*x^3 - 4*x^4). - _Colin Barker_, Mar 19 2018 %e A232077 Some solutions for n=7: %e A232077 ..0..1..0..1..0..1..0..0....0..0..1..0..0..0..0..1....0..1..0..0..1..1..1..1 %e A232077 ..1..0..1..0..1..1..0..0....0..1..0..1..1..1..1..0....1..0..0..0..1..0..0..1 %Y A232077 Cf. A232076. %K A232077 nonn %O A232077 1,1 %A A232077 _R. H. Hardin_, Nov 17 2013 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE