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%I #5 Jun 03 2015 09:45:44
%S 11532,179776,2826448,44622400,702129040,11033401600,173567878848,
%T 2731694950656,42976225312800,676001664001024,10634867325402176,
%U 167319376216735744,2632295463756056256,41410572963289629696
%N Number of (n+2)X(1+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum equal to the central column sum
%C Column 1 of A258564
%H R. H. Hardin, <a href="/A258561/b258561.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +1100*a(n-3) +12006*a(n-4) +49418*a(n-5) +275780*a(n-6) +1112580*a(n-7) +8335952*a(n-8) +13774376*a(n-9) +89252400*a(n-10) -963535920*a(n-11) -16902763680*a(n-12) -18723801600*a(n-13) +230364641280*a(n-14) +297741636480*a(n-15) -3123053432064*a(n-16) -6547113510912*a(n-17) +12428432363520*a(n-18) +82990982246400*a(n-19) +471394004557824*a(n-20) +651326858330112*a(n-21) -707414238167040*a(n-22) -715768694046720*a(n-23) +6527928854642688*a(n-24) +28138279412957184*a(n-25) +39222937387008000*a(n-26) -56776346503741440*a(n-27) -657089355998822400*a(n-28) -810802261839052800*a(n-29) -1209088994181120000*a(n-30) -2826994987302912000*a(n-31) -1546598932807680000*a(n-32) -9591392116408320000*a(n-33) -10019299708108800000*a(n-35) +50096498540544000000*a(n-36)
%e Some solutions for n=2
%e ..0..1..2....1..0..2....0..0..2....1..1..0....0..0..0....0..1..1....0..2..2
%e ..2..1..1....0..1..1....2..2..1....1..0..1....1..1..2....2..0..2....1..1..0
%e ..1..1..0....2..0..2....0..2..1....1..2..2....0..0..2....2..0..1....0..0..0
%e ..2..2..0....2..2..0....0..1..2....2..1..0....2..0..1....2..0..0....1..0..1
%Y Cf. A258564
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 03 2015
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