cp's OEIS Frontend

A274753 Number of 6Xn 0..2 arrays with no element equal to any value at offset (-1,-2) (0,-1) or (-1,0) and new values introduced in order 0..2.

%I A274753 #4 Jul 04 2016 10:28:11
%S A274753 16,243,2584,30349,355504,4190533,49475642,584676706,6910844226,
%T A274753 81707047512,965986300341,11421440282793,135038015584259,
%U A274753 1596629353977271,18877567144827169,223198901191401063
%N A274753 Number of 6Xn 0..2 arrays with no element equal to any value at offset (-1,-2) (0,-1) or (-1,0) and new values introduced in order 0..2.
%C A274753 Row 6 of A274749.
%H A274753 R. H. Hardin, <a href="/A274753/b274753.txt">Table of n, a(n) for n = 1..210</a>
%F A274753 Empirical: a(n) = 2*a(n-1) +152*a(n-2) +126*a(n-3) -6741*a(n-4) -9730*a(n-5) +144236*a(n-6) +211544*a(n-7) -1827425*a(n-8) -2254882*a(n-9) +15047732*a(n-10) +13461608*a(n-11) -83672422*a(n-12) -46079542*a(n-13) +318146254*a(n-14) +83743568*a(n-15) -832325842*a(n-16) -43299570*a(n-17) +1510818060*a(n-18) -133037018*a(n-19) -1921914874*a(n-20) +326729576*a(n-21) +1726512331*a(n-22) -355689576*a(n-23) -1096976553*a(n-24) +226215282*a(n-25) +489155842*a(n-26) -88109294*a(n-27) -149920421*a(n-28) +20717362*a(n-29) +30372727*a(n-30) -2785542*a(n-31) -3809133*a(n-32) +191694*a(n-33) +263142*a(n-34) -5112*a(n-35) -7560*a(n-36) for n>38
%e A274753 Some solutions for n=4
%e A274753 ..0..1..2..1. .0..1..2..1. .0..1..0..1. .0..1..0..1. .0..1..2..0
%e A274753 ..1..0..1..0. .1..0..1..0. .1..0..2..0. .1..0..1..2. .1..0..1..2
%e A274753 ..0..1..0..1. .2..1..0..2. .0..1..0..1. .2..1..0..1. .0..2..0..1
%e A274753 ..2..0..2..0. .1..2..1..0. .1..2..1..2. .1..0..1..0. .1..0..2..0
%e A274753 ..0..2..0..1. .0..1..0..1. .2..0..2..1. .0..2..0..2. .0..2..0..1
%e A274753 ..1..0..2..0. .2..0..2..0. .1..2..0..2. .2..1..2..1. .2..1..2..0
%Y A274753 Cf. A274749.
%K A274753 nonn
%O A274753 1,1
%A A274753 _R. H. Hardin_, Jul 04 2016