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A204075 Number of (n+1)X8 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order.

%I A204075 #7 Jul 22 2025 17:45:28
%S A204075 117188,17061338,2727300008,451830740558,75985220860460,
%T A204075 12862680257580962,2183735443548857744,371222822455471852118,
%U A204075 63142652467677473999828,10742975214630659845650794
%N A204075 Number of (n+1)X8 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order.
%C A204075 Column 7 of A204076
%H A204075 R. H. Hardin, <a href="/A204075/b204075.txt">Table of n, a(n) for n = 1..210</a>
%F A204075 Empirical: a(n) = 322*a(n-1) -31121*a(n-2) +677212*a(n-3) +56848972*a(n-4) -3586172600*a(n-5) +52369132896*a(n-6) +1245052315520*a(n-7) -47462252573696*a(n-8) +199722871680128*a(n-9) +11579233807503360*a(n-10) -161516422622031360*a(n-11) -781406452093941760*a(n-12) +30335388582357307392*a(n-13) -102551789828754223104*a(n-14) -2499075111791254233088*a(n-15) +21696171687994926645248*a(n-16) +73586462799086990983168*a(n-17) -1576005803911676145565696*a(n-18) +2408162877989904740777984*a(n-19) +55957566883111396665982976*a(n-20) -256470213770771143456718848*a(n-21) -882362368937819549787488256*a(n-22) +8451205698868439960808062976*a(n-23) -1734606525176780328074739712*a(n-24) -141028371040952846016774668288*a(n-25) +296324312967130989774499741696*a(n-26) +1198147430715508523506484641792*a(n-27) -4952845533984364757335295393792*a(n-28) -3186976950450110274831453782016*a(n-29) +40412468029396457697759830474752*a(n-30) -29248858868831293913779436257280*a(n-31) -177275840840616248911112251113472*a(n-32) +306730456012993930951282986582016*a(n-33) +365916593440879671670038106996736*a(n-34) -1252123486332919207419386477412352*a(n-35) +31455433167667604131574020308992*a(n-36) +2662103745182650392788796604153856*a(n-37) -1794384392309031579471189299429376*a(n-38) -2855274805218892553424514123300864*a(n-39) +3752560584513799228760234569760768*a(n-40) +955018952518786152205067397103616*a(n-41) -3479885196004780525644200160526336*a(n-42) +837529518152722930934794025959424*a(n-43) +1493157166737156760665543722139648*a(n-44) -855754296042631804236915409944576*a(n-45) -216580283784251054761779996393472*a(n-46) +271742943487852984902753988902912*a(n-47) -26382857255823684476961231470592*a(n-48) -32280501885628797705911908958208*a(n-49) +9223849840386162307148405538816*a(n-50) +583023965817031645837817544704*a(n-51) -526674746442027343134804934656*a(n-52) +65171585638020020911233564672*a(n-53) -1944707570813495706151550976*a(n-54) -24175560301554771538477056*a(n-55)
%e A204075 Some solutions for n=4
%e A204075 ..0..1..2..2..0..0..0..2....0..0..0..0..1..0..1..2....0..0..0..1..2..1..0..2
%e A204075 ..0..0..1..2..2..0..0..0....0..2..0..0..0..2..0..1....1..0..2..0..1..0..2..2
%e A204075 ..2..0..0..1..2..2..0..0....0..0..0..2..0..0..0..0....2..1..0..0..0..2..1..2
%e A204075 ..0..2..0..0..1..2..2..0....2..0..0..0..2..0..1..0....1..2..1..0..1..0..2..2
%e A204075 ..2..0..1..0..0..1..2..2....0..2..0..2..0..1..2..1....1..1..1..1..1..1..0..2
%K A204075 nonn
%O A204075 1,1
%A A204075 _R. H. Hardin_ Jan 10 2012