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Number of (n+1)X4 0..2 arrays with every 2X2 subblock sum greater than 4
1

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

%S 792,20514,421879,9573698,209361859,4649028105,102612963762,

%T 2270452765634,50187203345248,1109807953423781,24537612768982878,

%U 542556880890398985,11996283587851942891,265248437061417663664

%N Number of (n+1)X4 0..2 arrays with every 2X2 subblock sum greater than 4

%C Column 3 of A184497

%H R. H. Hardin, <a href="/A184491/b184491.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=14*a(n-1)+235*a(n-2)-835*a(n-3)-9872*a(n-4)+18170*a(n-5)+157753*a(n-6)-198571*a(n-7)-1173439*a(n-8)+1189558*a(n-9)+4436018*a(n-10)-3898484*a(n-11)-9184174*a(n-12)+7095216*a(n-13)+11019526*a(n-14)-7342318*a(n-15)-7892736*a(n-16)+4325550*a(n-17)+3382616*a(n-18)-1396572*a(n-19)-837900*a(n-20)+220320*a(n-21)+107712*a(n-22)-12096*a(n-23)-5184*a(n-24)

%e Some solutions for 3X4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2011