A184470 - OEIS

%I #5 Mar 31 2012 12:36:00

%S 1095,2755,7085,19119,62213,200215,645837,2386807,8440325,29121087,

%T 112850957,413112487,1461095205,5765335615,21394180445,76423033479,

%U 303819408773,1133934761455,4067862256797,16225029630247,60710982378005

%N 1/6 the number of (n+2)X4 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last

%C Column 2 of A184477

%H R. H. Hardin, <a href="/A184470/b184470.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=5*a(n-1)-6*a(n-2)+123*a(n-3)-615*a(n-4)+738*a(n-5)-5552*a(n-6)+27760*a(n-7)-33312*a(n-8)+122328*a(n-9)-611640*a(n-10)+733968*a(n-11)-1443600*a(n-12)+7218000*a(n-13)-8661600*a(n-14)+9366192*a(n-15)-46830960*a(n-16)+56197152*a(n-17)-32980608*a(n-18)+164903040*a(n-19)-197883648*a(n-20)+58413312*a(n-21)-292066560*a(n-22)+350479872*a(n-23)-40310784*a(n-24)+201553920*a(n-25)-241864704*a(n-26)

%e Some solutions with a(1,1)=0 for 6X4

%e ..0..0..0..2....0..1..1..0....0..1..1..0....0..1..0..1....0..0..2..0

%e ..2..2..0..0....1..1..0..0....0..1..2..0....1..0..0..1....2..0..2..1

%e ..2..2..1..2....0..2..0..1....0..1..0..0....1..2..1..0....1..2..0..2

%e ..0..0..0..2....1..0..1..1....0..1..1..0....0..1..0..1....0..0..2..0

%e ..2..2..0..0....1..0..1..0....1..0..2..1....0..1..0..0....2..2..0..1

%e ..2..1..2..2....0..2..0..1....0..1..0..0....1..2..1..0....1..2..0..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2011