login
A185475
Number of (n+2)X9 0..2 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order
1
336690, 3212372, 20411234, 100908633, 416227164, 1497314456, 4845252741, 14425457557, 40183952539, 106069534256, 267851235385, 651716593546, 1535886293189, 3519099305097, 7860273371841, 17147427400925, 36585315520514
OFFSET
1,1
COMMENTS
Column 7 of A185477
LINKS
FORMULA
Empirical: a(n) = (1/25519951134720000)*n^21
+ (1/127919554560000)*n^20
+ (1877/2551995113472000)*n^19
+ (101861/2328135892992000)*n^18
+ (10763959/5820339732480000)*n^17
+ (24725641/418455797760000)*n^16
+ (836589317/564915326976000)*n^15
+ (22655691343/753220435968000)*n^14
+ (5887296211331/11298306539520000)*n^13
+ (436620904451/52672757760000)*n^12
+ (3650470717199/28970016768000)*n^11
+ (2036750095277/1170505728000)*n^10
+ (1572848084986607/79009136640000)*n^9
+ (1160407108626427/6584094720000)*n^8
+ (2296534278781759/1975228416000)*n^7
+ (525799308273622787/94152554496000)*n^6
+ (25696337451699745273/1333827855360000)*n^5
+ (2682952836795541619/55576160640000)*n^4
+ (124299364108443341/1407929402880)*n^3
+ (73695052155737/701719200)*n^2
+ (1503827501467/23279256)*n
+ 4299
EXAMPLE
Some solutions for 4X9
..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..1
..0..0..0..0..0..0..0..1..2....0..0..0..0..0..0..0..0..1
..0..0..0..0..0..1..1..1..0....0..0..0..0..0..1..1..2..2
..0..0..0..1..2..1..2..2..0....0..0..0..0..1..1..2..1..2
CROSSREFS
Sequence in context: A234081 A022225 A114674 * A224632 A350186 A234726
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 28 2011
STATUS
approved