|
%I #5 Mar 31 2012 12:37:02
%S 124,405,1781,4246,16855,65096,144255,651750,2480147,6826114,28519709,
%T 102468425,302547337,1231849272,4512654559,14517240364,56492934539,
%U 205115926577,698714375439,2693352796243,9877987196219,34884036107922
%N Number of (n+2)X3 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order
%C Column 1 of A204642
%H R. H. Hardin, <a href="/A204635/b204635.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -14*a(n-2) +32*a(n-3) -178*a(n-4) +518*a(n-5) -1017*a(n-6) +609*a(n-7) -2461*a(n-8) +25287*a(n-9) -43874*a(n-10) +6054*a(n-11) -25095*a(n-12) +64297*a(n-13) +152172*a(n-14) -435728*a(n-15) +555156*a(n-16) -501972*a(n-17) +253956*a(n-18) +255660*a(n-19) -906516*a(n-20) +522900*a(n-21) +294048*a(n-22) +45792*a(n-23) -362448*a(n-24) +434592*a(n-25) -860544*a(n-26) +715392*a(n-27) -186624*a(n-28) for n>29
%e Some solutions for n=3
%e ..0..1..1....0..0..1....0..0..0....0..0..0....0..0..1....0..0..0....0..0..0
%e ..0..0..2....0..0..0....0..0..0....0..0..0....0..0..0....1..2..0....0..0..0
%e ..0..0..0....1..0..0....1..0..1....1..0..1....1..0..0....0..0..0....1..0..1
%e ..0..0..3....1..1..0....0..1..0....0..1..0....1..1..0....0..1..0....0..1..0
%e ..3..0..0....1..1..1....1..1..1....1..1..1....1..1..1....0..1..0....1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 17 2012
| 