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%I #6 Jun 18 2022 19:01:41
%S 0,0,0,8,164,1650,17694,200654,2327434,27027518,312558570,3608384550,
%T 41652636232,480912262700,5553151914970,64123837102928,
%U 740447098174482,8549981982002574,98726958313716584,1140004569675468580
%N Number of 3 X n 0..7 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 8, and upper left element zero.
%C Row 3 of A230915.
%H R. H. Hardin, <a href="/A230916/b230916.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 41*a(n-1) -734*a(n-2) +7657*a(n-3) -51438*a(n-4) +227423*a(n-5) -629332*a(n-6) +896043*a(n-7) -428605*a(n-8) +4213840*a(n-9) -31520317*a(n-10) +84242147*a(n-11) -58566557*a(n-12) -90193432*a(n-13) -590267025*a(n-14) +4931827523*a(n-15) -15254103485*a(n-16) +26175634648*a(n-17) -21458265709*a(n-18) -7574174643*a(n-19) +36107960817*a(n-20) -40291478136*a(n-21) +54223853855*a(n-22) -72013417335*a(n-23) -229144068*a(n-24) +69108492967*a(n-25) +672217909*a(n-26) +29945305820*a(n-27) -96354292899*a(n-28) -80661354807*a(n-29) +26474436759*a(n-30) +87240214744*a(n-31) +102119913670*a(n-32) +56097938072*a(n-33) -33643883964*a(n-34) -16213629332*a(n-35) -76889595708*a(n-36) -118542253456*a(n-37) -199731981112*a(n-38) -227670680592*a(n-39) -198661146992*a(n-40) -131097587072*a(n-41) -64095745824*a(n-42) -19314114944*a(n-43) -7490048*a(n-44) +3357267968*a(n-45) +2452342272*a(n-46) +860892160*a(n-47) +143020032*a(n-48) -24281088*a(n-49) for n>52.
%e Some solutions for n=4
%e ..0..1..2..3....0..1..2..1....0..1..0..7....0..1..4..5....0..1..2..1
%e ..0..1..4..5....2..3..0..7....2..3..6..5....2..3..6..7....0..3..0..7
%e ..0..7..6..5....4..5..6..5....4..5..4..3....2..1..0..7....4..5..6..5
%Y Cf. A230915.
%K nonn
%O 1,4
%A _R. H. Hardin_, Nov 01 2013
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