A204356 - OEIS

%I #5 Mar 31 2012 12:37:01

%S 764,2063,5516,13721,35690,92286,236382,607036,1562386,4024090,

%T 10362274,26670982,68640970,176707668,454941820,1171126358,3014574254,

%U 7760190950,19977148404,51426366674,132382169446,340781628584,877258120820

%N Number of (n+2)X5 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order

%C Column 3 of A204361

%H R. H. Hardin, <a href="/A204356/b204356.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +2*a(n-3) +17*a(n-4) -a(n-5) -a(n-6) -5*a(n-7) -58*a(n-8) +28*a(n-9) -9*a(n-10) -11*a(n-11) +84*a(n-12) -82*a(n-13) +49*a(n-14) +a(n-15) -50*a(n-16) +66*a(n-17) -52*a(n-18) +33*a(n-19) -12*a(n-20) +4*a(n-21) -4*a(n-23) for n>29

%e Some solutions for n=3

%e ..0..1..0..0..0....0..1..0..0..0....0..0..1..0..1....0..0..1..0..1

%e ..1..1..0..1..0....1..0..1..1..0....0..1..1..1..0....1..1..0..0..0

%e ..0..1..1..0..1....1..0..0..1..1....1..0..0..1..1....1..0..1..1..0

%e ..1..0..1..1..1....1..1..0..1..0....0..1..0..0..0....0..1..0..1..1

%e ..1..0..0..1..0....0..1..1..0..1....1..0..1..0..1....1..0..0..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012