cp's OEIS Frontend

A185474 Number of (n+2) X 8 0..2 arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order.

%I A185474 #7 Jan 18 2022 00:35:56
%S A185474 169052,1433903,8297059,37961900,146203201,493061605,1497314456,
%T A185474 4179700035,10893560939,26828743607,63022511852,142244535949,
%U A185474 310251195820,656871055669,1354738985131,2729104397743,5381326476837
%N A185474 Number of (n+2) X 8 0..2 arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order.
%C A185474 Column 6 of A185477.
%H A185474 R. H. Hardin, <a href="/A185474/b185474.txt">Table of n, a(n) for n = 1..200</a>
%F A185474 Empirical: a(n) = (1/212666259456000)*n^19
%F A185474 + (67/83147710464000)*n^18
%F A185474 + (12559/194011324416000)*n^17
%F A185474 + (12833/3923023104000)*n^16
%F A185474 + (333169/2853107712000)*n^15
%F A185474 + (196437919/62768369664000)*n^14
%F A185474 + (1153058911/17118646272000)*n^13
%F A185474 + (1339332949/1034643456000)*n^12
%F A185474 + (28852162981/1207084032000)*n^11
%F A185474 + (350922659539/877879296000)*n^10
%F A185474 + (4735468557467/877879296000)*n^9
%F A185474 + (11975048873639/219469824000)*n^8
%F A185474 + (131882024236729/329204736000)*n^7
%F A185474 + (7064899018536199/3362591232000)*n^6
%F A185474 + (1862906706349061/237758976000)*n^5
%F A185474 + (13955757767803297/653837184000)*n^4
%F A185474 + (26671169520943/623750400)*n^3
%F A185474 + (851721864110749/15437822400)*n^2
%F A185474 + (4258571767339/116396280)*n
%F A185474 + 2793.
%e A185474 Some solutions for 4 X 8
%e A185474 ..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..2
%e A185474 ..0..0..0..0..0..0..1..1....0..0..0..0..1..1..2..2....0..0..0..0..0..0..2..2
%e A185474 ..0..0..0..0..0..1..0..2....0..0..0..2..1..2..1..2....0..0..0..0..0..1..0..1
%e A185474 ..0..0..0..0..2..1..2..1....0..0..0..2..1..2..2..0....0..0..1..1..1..2..1..1
%Y A185474 Cf. A185477.
%K A185474 nonn
%O A185474 1,1
%A A185474 _R. H. Hardin_, Jan 28 2011