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A185474 Number of (n+2) X 8 0..2 arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order. 1

%I #7 Jan 18 2022 00:35:56

%S 169052,1433903,8297059,37961900,146203201,493061605,1497314456,

%T 4179700035,10893560939,26828743607,63022511852,142244535949,

%U 310251195820,656871055669,1354738985131,2729104397743,5381326476837

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

%C Column 6 of A185477.

%H R. H. Hardin, <a href="/A185474/b185474.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = (1/212666259456000)*n^19

%F + (67/83147710464000)*n^18

%F + (12559/194011324416000)*n^17

%F + (12833/3923023104000)*n^16

%F + (333169/2853107712000)*n^15

%F + (196437919/62768369664000)*n^14

%F + (1153058911/17118646272000)*n^13

%F + (1339332949/1034643456000)*n^12

%F + (28852162981/1207084032000)*n^11

%F + (350922659539/877879296000)*n^10

%F + (4735468557467/877879296000)*n^9

%F + (11975048873639/219469824000)*n^8

%F + (131882024236729/329204736000)*n^7

%F + (7064899018536199/3362591232000)*n^6

%F + (1862906706349061/237758976000)*n^5

%F + (13955757767803297/653837184000)*n^4

%F + (26671169520943/623750400)*n^3

%F + (851721864110749/15437822400)*n^2

%F + (4258571767339/116396280)*n

%F + 2793.

%e Some solutions for 4 X 8

%e ..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 ..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 ..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 ..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 Cf. A185477.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 28 2011

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)