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A209015 Number of nX4 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.

%I A209015 #7 Jul 22 2025 21:34:45
%S A209015 108,15724,2303052,337083370,49349902246,7224768704460,
%T A209015 1057701934285612,154846841369187254,22669475693064075854,
%U A209015 3318796151990660980412,485869556318230056701646,71130980457981221221106644
%N A209015 Number of nX4 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.
%C A209015 Column 4 of A209019
%H A209015 R. H. Hardin, <a href="/A209015/b209015.txt">Table of n, a(n) for n = 1..210</a>
%F A209015 Empirical: a(n) = 121*a(n-1) +5730*a(n-2) -286920*a(n-3) -2230550*a(n-4) +168111699*a(n-5) -294889621*a(n-6) -40576917506*a(n-7) +278469929272*a(n-8) +4185653952679*a(n-9) -51679493388906*a(n-10) -95521480620954*a(n-11) +3917029561300381*a(n-12) -12619545022627596*a(n-13) -116519992699014814*a(n-14) +921470247221265689*a(n-15) -119314240369267058*a(n-16) -21755424443481809339*a(n-17) +76040536569580318461*a(n-18) +114661181811939421726*a(n-19) -1357725604456162658889*a(n-20) +2421087559015872647850*a(n-21) +6149428808328956427545*a(n-22) -30883693864978949164736*a(n-23) +21715521985680502773934*a(n-24) +121577848721422211358097*a(n-25) -282515614398015795553233*a(n-26) -59401783650000309680112*a(n-27) +975489045665324929868215*a(n-28) -948722481222129857685702*a(n-29) -1327450811491294031946559*a(n-30) +3197130081855174858692241*a(n-31) -375821449794905094130651*a(n-32) -4691721934473468324109304*a(n-33) +3863156809522165838208261*a(n-34) +3153863823478852306299581*a(n-35) -5996729276936836482160104*a(n-36) +207065725654100689193478*a(n-37) +5011502450288579874906392*a(n-38) -2360115036652008244193773*a(n-39) -2514469390051829479202967*a(n-40) +2374772123540643629418123*a(n-41) +628695226019219665423080*a(n-42) -1378444535051876357809410*a(n-43) +82722580096724428234311*a(n-44) +530121626682994473729220*a(n-45) -138965847696073156085105*a(n-46) -138249556554994118098499*a(n-47) +61438878901505761010146*a(n-48) +21473460220917979164857*a(n-49) -16472927063957604369756*a(n-50) +476472768687994672934*a(n-51) +2374787095197934792127*a(n-52) -1417255222031476419249*a(n-53) +362528775484506288419*a(n-54) +258759203906273804423*a(n-55) -218812945298855222271*a(n-56) +6317554856819353548*a(n-57) +31688055162233226837*a(n-58) -765235142583070563*a(n-59) -3374058137343271254*a(n-60) -559617723065314773*a(n-61) +314957827294734249*a(n-62) +51896030974806510*a(n-63) -2493656515165842*a(n-64) -6141332967576516*a(n-65) +509451270235560*a(n-66) +49818992233392*a(n-67) -1091729194848*a(n-68) -79830468864*a(n-69)
%e A209015 Some solutions for n=4
%e A209015 ..1..3..0..1....1..0..1..0....1..0..2..3....2..0..1..0....3..2..3..1
%e A209015 ..0..0..2..0....0..3..1..2....2..2..1..0....3..0..1..2....1..3..2..0
%e A209015 ..1..1..2..3....1..0..1..3....3..3..0..1....1..3..0..0....2..3..1..3
%e A209015 ..3..0..3..1....2..3..3..1....0..0..3..2....2..3..3..2....1..0..3..3
%K A209015 nonn
%O A209015 1,1
%A A209015 _R. H. Hardin_ Mar 04 2012