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A276296 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.

%I A276296 #4 Aug 28 2016 08:24:45
%S A276296 8,108,693,5909,50949,442001,3861469,33851605,297360321,2615328377,
%T A276296 23018938257,202689194753,1785196757685,15725574011217,
%U A276296 138536812455865,1220524306616877,10753280301953245,94742171002825549,834738246801591597
%N A276296 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.
%C A276296 Column 5 of A276299.
%H A276296 R. H. Hardin, <a href="/A276296/b276296.txt">Table of n, a(n) for n = 1..210</a>
%F A276296 Empirical: a(n) = 15*a(n-1) -59*a(n-2) +88*a(n-3) -753*a(n-4) +3144*a(n-5) -3566*a(n-6) +15470*a(n-7) -60036*a(n-8) +63424*a(n-9) -166302*a(n-10) +522272*a(n-11) -496170*a(n-12) +872844*a(n-13) -2184470*a(n-14) +1728684*a(n-15) -2023510*a(n-16) +4274276*a(n-17) -2552010*a(n-18) +1711922*a(n-19) -3752238*a(n-20) +1631282*a(n-21) -390844*a(n-22) +1591096*a(n-23) -522438*a(n-24) -63580*a(n-25) -336430*a(n-26) +92712*a(n-27) +24271*a(n-28) +31601*a(n-29) -8451*a(n-30) -1540*a(n-31) -993*a(n-32) +290*a(n-33) for n>37
%e A276296 Some solutions for n=4
%e A276296 ..0..1..0..2..0. .0..1..0..1..0. .0..1..2..1..2. .0..1..2..1..0
%e A276296 ..0..2..0..1..0. .0..1..0..1..0. .2..1..2..0..1. .2..0..2..1..2
%e A276296 ..0..1..2..1..0. .2..1..0..1..2. .0..1..2..0..2. .2..1..0..1..2
%e A276296 ..0..1..0..1..0. .0..1..0..1..0. .2..1..2..0..2. .2..1..2..1..2
%Y A276296 Cf. A276299.
%K A276296 nonn
%O A276296 1,1
%A A276296 _R. H. Hardin_, Aug 28 2016