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A185473 Number of (n+2)X7 0..2 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.

%I A185473 #7 Jul 22 2025 09:48:19
%S A185473 79743,594798,3097348,12990375,46410729,146203201,416227164,
%T A185473 1090826214,2669230399,6166331968,13566979728,28628817088,58271012854,
%U A185473 114931139131,220496274283,412754753755,755824704746,1356767769574,2391691228097
%N A185473 Number of (n+2)X7 0..2 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.
%C A185473 Column 5 of A185477
%H A185473 R. H. Hardin, <a href="/A185473/b185473.txt">Table of n, a(n) for n = 1..200</a>
%F A185473 Empirical: a(n) = (1/2155681382400)*n^17
%F A185473 + (47/697426329600)*n^16
%F A185473 + (611/134120448000)*n^15
%F A185473 + (33559/174356582400)*n^14
%F A185473 + (189341/33210777600)*n^13
%F A185473 + (178309/1277337600)*n^12
%F A185473 + (147904279/44706816000)*n^11
%F A185473 + (87015563/1219276800)*n^10
%F A185473 + (11642696389/9754214400)*n^9
%F A185473 + (69578815777/4877107200)*n^8
%F A185473 + (3848584871/32256000)*n^7
%F A185473 + (44384094767/63866880)*n^6
%F A185473 + (247986427893683/87178291200)*n^5
%F A185473 + (124742663704661/14529715200)*n^4
%F A185473 + (1115145293971/58212000)*n^3
%F A185473 + (2731472131849/100900800)*n^2
%F A185473 + (9965552297/510510)*n
%F A185473 + 1735
%e A185473 Some solutions for 4X7
%e A185473 ..0..0..0..0..0..0..0....0..0..0..0..0..1..1....0..0..0..0..0..0..1
%e A185473 ..0..0..0..0..0..2..2....0..0..0..0..0..1..2....0..0..0..0..1..1..2
%e A185473 ..0..0..0..1..1..0..1....0..0..0..0..1..0..0....0..0..0..1..1..1..2
%e A185473 ..0..1..1..2..2..1..2....0..0..2..2..1..0..2....0..1..1..2..1..2..1
%K A185473 nonn
%O A185473 1,1
%A A185473 _R. H. Hardin_ Jan 28 2011