A186088 Number of (n+2)X3 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

102251, 1252889, 11258613, 83378583, 531218757, 2985984444, 15084070635, 69482992431, 295278398390, 1168636004931, 4340861873151, 15229963644864, 50743091539034, 161283018943658, 490947611660031, 1436133677832325

Offset

1,1

Comments

Column 1 of A186096

Links

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

Formula

Empirical: a(n) = (1/295232799039604140847618609643520000000)*n^34

+ (1/36561337342365837875866081689600000)*n^33

+ (1151/78939251080108059050165403648000000)*n^32

+ (57793/15180625207713088278877962240000000)*n^31

+ (8146051/12732137270985170814542807040000000)*n^30

+ (15252793/195879034938233397146812416000000)*n^29

+ (917629/125082397789421070974976000000)*n^28

+ (40844936773/73173202706811326520360960000000)*n^27

+ (10326664514897/292692810827245306081443840000000)*n^26

+ (1699793021071/900593264083831711019827200000)*n^25

+ (21419403120091/247663147623053720530452480000)*n^24

+ (3257433593147959/952550567780975848194048000000)*n^23

+ (149148353528547551/1272577438379327417745408000000)*n^22

+ (888681424414566953/254515487675865483549081600000)*n^21

+ (11531836957656612161/127257743837932741774540800000)*n^20

+ (5909972330146165909/2879134475971328999424000000)*n^19

+ (185196564663366054480883/4554487674199698126667776000000)*n^18

+ (223744365124534317893/317054484803320440422400000)*n^17

+ (631124705896508562289697/58734343309815111588249600000)*n^16

+ (7215220158705833717523107/50233319936026082279424000000)*n^15

+ (44200951728497459126549888033/26246909666573627990999040000000)*n^14

+ (1394814879695359558279349521/80759722050995778433843200000)*n^13

+ (32548509299450082036607825951/211076546269648057270272000000)*n^12

+ (48337137666188129039919297713/40591643513393857167360000000)*n^11

+ (18053107623124660173941442743743/2286662584587853953761280000000)*n^10

+ (2266224377869928249871300899693/50814724101952310083584000000)*n^9

+ (902210285827865272553906095027/4234560341829359173632000000)*n^8

+ (57964514565563064206413856761/67861543939573063680000000)*n^7

+ (2023140467628393995969236886677/710661168478306805760000000)*n^6

+ (25417310330253175708558630751/3279974623746031411200000)*n^5

+ (61858293620765291251250539109/3728237822324655704064000)*n^4

+ (12364083190538430205351213/471396394434917952000)*n^3

+ (8255316109684330210707767/294877831150846944000)*n^2

+ (1418176238189177/80224196052)*n

+ 2040

Example

Some solutions for 4X3
..0..0..1....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0
..0..0..3....0..3..3....0..0..3....0..1..4....0..1..1....0..0..1....0..0..1
..1..4..2....1..2..2....0..2..3....0..3..3....2..0..2....0..1..2....2..3..3
..4..4..2....1..4..4....3..1..0....1..3..2....4..0..0....0..3..0....3..3..0

Crossrefs

Sequence in context: A203592 A106813 A186096 * A186087 A106814 A220076

Adjacent sequences: A186085 A186086 A186087 * A186089 A186090 A186091

Keyword

nonn

Author

R. H. Hardin Feb 12 2011

Status

approved