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A184566 Number of (n+2)X3 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order 1
14178, 102445, 545662, 2430950, 9496395, 33351260, 107058241, 318063303, 883398416, 2312834051, 5747404508, 13634816674, 31030883261, 68030181122, 144179542873, 296289041222, 591935421670, 1152308627603, 2190104262402 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A184574

LINKS

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

FORMULA

Empirical: a(n) = (1/121645100408832000)*n^19

+ (53/3201186852864000)*n^18

+ (5743/2134124568576000)*n^17

+ (12931/62768369664000)*n^16

+ (621041/62768369664000)*n^15

+ (10734523/31384184832000)*n^14

+ (1720232317/188305108992000)*n^13

+ (127448011/658409472000)*n^12

+ (6294370109/1931334451200)*n^11

+ (18970604773/438939648000)*n^10

+ (4321841102639/9656672256000)*n^9

+ (17491957547611/4828336128000)*n^8

+ (1086794057312713/47076277248000)*n^7

+ (2752481070552527/23538138624000)*n^6

+ (1237909924891457/2615348736000)*n^5

+ (1921023328483453/1307674368000)*n^4

+ (249101413506019/77189112000)*n^3

+ (12857906145353/2806876800)*n^2

+ (288855292519/77597520)*n

+ 561

EXAMPLE

Some solutions for 4X3

..0..1..3....0..1..1....0..0..2....0..0..0....0..1..3....0..0..3....0..1..1

..0..2..3....0..1..2....0..1..2....1..1..3....0..3..3....0..1..3....1..1..1

..3..2..3....2..2..3....3..0..0....1..2..0....2..0..0....0..3..3....1..2..3

..3..3..1....2..3..1....3..3..1....3..0..0....3..1..3....2..0..1....2..1..0

CROSSREFS

Sequence in context: A134610 A104825 A184574 * A184565 A251068 A184559

Adjacent sequences:  A184563 A184564 A184565 * A184567 A184568 A184569

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 17 2011

STATUS

approved

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Last modified January 26 16:03 EST 2022. Contains 350599 sequences. (Running on oeis4.)