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

79743, 594798, 3097348, 12990375, 46410729, 146203201, 416227164, 1090826214, 2669230399, 6166331968, 13566979728, 28628817088, 58271012854, 114931139131, 220496274283, 412754753755, 755824704746, 1356767769574, 2391691228097

Offset: 1

Author

R. H. Hardin Jan 28 2011

Keywords

• nonn

Comments

Column 5 of A185477

Examples

			Some solutions for 4X7
..0..0..0..0..0..0..0....0..0..0..0..0..1..1....0..0..0..0..0..0..1
..0..0..0..0..0..2..2....0..0..0..0..0..1..2....0..0..0..0..1..1..2
..0..0..0..1..1..0..1....0..0..0..0..1..0..0....0..0..0..1..1..1..2
..0..1..1..2..2..1..2....0..0..2..2..1..0..2....0..1..1..2..1..2..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = (1/2155681382400)*n^17

+ (47/697426329600)*n^16

+ (611/134120448000)*n^15

+ (33559/174356582400)*n^14

+ (189341/33210777600)*n^13

+ (178309/1277337600)*n^12

+ (147904279/44706816000)*n^11

+ (87015563/1219276800)*n^10

+ (11642696389/9754214400)*n^9

+ (69578815777/4877107200)*n^8

+ (3848584871/32256000)*n^7

+ (44384094767/63866880)*n^6

+ (247986427893683/87178291200)*n^5

+ (124742663704661/14529715200)*n^4

+ (1115145293971/58212000)*n^3

+ (2731472131849/100900800)*n^2

+ (9965552297/510510)*n

+ 1735