cp's OEIS Frontend

A274893 Number of nX6 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-1) or (-2,0) and new values introduced in order 0..2.

%I A274893 #4 Jul 10 2016 19:59:22
%S A274893 16,324,200,815,3064,12217,48269,191974,767905,3065418,12266783,
%T A274893 49117667,196547638,787292648,3152652324,12625267314,50570833189,
%U A274893 202532990424,811204807382,3249164512849,13013594658959,52124256901705
%N A274893 Number of nX6 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-1) or (-2,0) and new values introduced in order 0..2.
%C A274893 Column 6 of A274895.
%H A274893 R. H. Hardin, <a href="/A274893/b274893.txt">Table of n, a(n) for n = 1..210</a>
%F A274893 Empirical: a(n) = a(n-1) +32*a(n-2) -496*a(n-4) -285*a(n-5) +4881*a(n-6) +4147*a(n-7) -34777*a(n-8) -31747*a(n-9) +193564*a(n-10) +159250*a(n-11) -877342*a(n-12) -559729*a(n-13) +3305202*a(n-14) +1371918*a(n-15) -10462555*a(n-16) -2038881*a(n-17) +28064748*a(n-18) -2573*a(n-19) -64372540*a(n-20) +10287733*a(n-21) +127544223*a(n-22) -35738974*a(n-23) -220567144*a(n-24) +79285065*a(n-25) +335987479*a(n-26) -133564456*a(n-27) -453839772*a(n-28) +180266595*a(n-29) +545461852*a(n-30) -199009384*a(n-31) -583472166*a(n-32) +180690849*a(n-33) +554326040*a(n-34) -134105374*a(n-35) -466206332*a(n-36) +79652731*a(n-37) +345892063*a(n-38) -35882573*a(n-39) -225652263*a(n-40) +10312807*a(n-41) +129040364*a(n-42) -882*a(n-43) -64456638*a(n-44) -2039779*a(n-45) +27988146*a(n-46) +1372306*a(n-47) -10489437*a(n-48) -560497*a(n-49) +3358044*a(n-50) +159731*a(n-51) -905008*a(n-52) -31875*a(n-53) +201297*a(n-54) +4160*a(n-55) -35960*a(n-56) -285*a(n-57) +4960*a(n-58) -496*a(n-60) +a(n-61) +32*a(n-62) -a(n-64) for n>66
%e A274893 Some solutions for n=4
%e A274893 ..0..1..2..0..2..0. .0..1..0..2..1..0. .0..1..0..1..2..1. .0..1..2..0..2..0
%e A274893 ..0..1..0..1..2..1. .2..1..2..1..0..2. .1..2..0..1..0..1. .0..1..2..1..2..0
%e A274893 ..1..2..0..2..0..1. .2..0..2..0..2..1. .1..2..1..2..0..2. .1..2..0..1..0..1
%e A274893 ..2..0..1..2..0..2. .1..0..1..0..2..0. .2..0..1..0..1..2. .2..0..1..2..0..1
%Y A274893 Cf. A274895.
%K A274893 nonn
%O A274893 1,1
%A A274893 _R. H. Hardin_, Jul 10 2016