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A184472 1/6 the number of (n+2)X6 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.

%I A184472 #7 Jul 22 2025 09:35:30
%S A184472 12339,19119,30681,53739,127689,322275,878625,2967411,9800745,
%T A184472 32238603,121975089,436928547,1519783929,5949509979,21894837441,
%U A184472 77688357939,307915900809,1145251722315,4096740213585,16319916055011,60974970119385
%N A184472 1/6 the number of (n+2)X6 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.
%C A184472 Column 4 of A184477
%H A184472 R. H. Hardin, <a href="/A184472/b184472.txt">Table of n, a(n) for n = 1..106</a>
%F A184472 Empirical: a(n)=6*a(n-1)-11*a(n-2)+129*a(n-3)-738*a(n-4)+1353*a(n-5)-6290*a(n-6)+33312*a(n-7)-61072*a(n-8)+155640*a(n-9)-733968*a(n-10)+1345608*a(n-11)-2177568*a(n-12)+8661600*a(n-13)-15879600*a(n-14)+18027792*a(n-15)-56197152*a(n-16)+103028112*a(n-17)-89177760*a(n-18)+197883648*a(n-19)-362786688*a(n-20)+256296960*a(n-21)-350479872*a(n-22)+642546432*a(n-23)-390790656*a(n-24)+241864704*a(n-25)-443418624*a(n-26)+241864704*a(n-27)
%e A184472 Some solutions with a(1,1)=0 for 4X6
%e A184472 ..0..2..1..1..2..2....0..2..1..0..2..0....0..1..1..0..1..0....0..0..2..0..2..1
%e A184472 ..0..2..0..1..2..1....0..0..2..0..0..2....1..2..0..1..0..1....0..2..2..1..0..1
%e A184472 ..0..2..2..1..2..0....2..2..0..2..2..1....1..0..0..1..2..0....1..0..2..0..0..1
%e A184472 ..0..2..1..1..2..2....0..2..1..0..2..0....1..0..1..1..0..0....0..0..2..0..2..1
%K A184472 nonn
%O A184472 1,1
%A A184472 _R. H. Hardin_ Jan 15 2011