%I #5 Mar 31 2012 12:37:25
%S 51,28246,16205218,9130195864,5134914951163,2887736845657700,
%T 1624001903270517563,913306247364608338853,513625349165806029159816,
%U 288852734835443348518960257,162445063843968446617446229944
%N Number of 5Xn 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors
%C Row 5 of A208872
%H R. H. Hardin, <a href="/A208876/b208876.txt">Table of n, a(n) for n = 1..202</a>
%F Empirical: a(n) = 835*a(n-1) -183323*a(n-2) +18547299*a(n-3) -987322450*a(n-4) +26936215656*a(n-5) -259592930108*a(n-6) -3698904511972*a(n-7) +105056981064194*a(n-8) -468082290224790*a(n-9) -8220453963894770*a(n-10) +93015305289328522*a(n-11) -3009215708038944*a(n-12) -4338208630525451740*a(n-13) +17757865170412343388*a(n-14) +59736218122280906604*a(n-15) -622267506833186033977*a(n-16) +938869955167775461259*a(n-17) +8000262558220637738773*a(n-18) -56634053288703764393173*a(n-19) +209139140116278936305898*a(n-20) -546065890364575413337540*a(n-21) +1008121942435233118210008*a(n-22) -1160912061971582376908448*a(n-23) +524709510887340807606720*a(n-24) +511243927003064543493888*a(n-25) -896720906468773868608512*a(n-26) +430645964613584885342208*a(n-27) +74415201590159365275648*a(n-28) -159217853403663932719104*a(n-29) +60721875388690274451456*a(n-30) -7836898836947747733504*a(n-31) for n>34
%e Some solutions for n=4
%e ..0..0..1..0....0..1..0..2....0..0..0..0....0..0..0..1....0..0..0..1
%e ..2..3..1..0....0..3..3..0....1..2..2..1....2..3..2..0....1..1..2..1
%e ..0..1..2..1....1..0..2..1....1..0..1..2....1..2..1..1....0..1..0..2
%e ..1..2..3..3....1..2..1..2....2..2..1..0....1..0..2..1....2..1..0..3
%e ..0..3..0..0....0..2..0..3....0..3..0..1....3..3..1..2....1..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 02 2012
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