A186094 Number of (n+2)X9 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

15084070635, 983600385660, 35285910378578, 878623899164100, 16772871828446212, 259853049462211773, 3389319838308873682, 38178484248123485705, 378421518105145967388, 3348715684902249747787

Offset

1,1

Comments

Column 7 of A186096

Links

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

Formula

Empirical: a(n) = (4295593/62612641379088316917275180413600636755116463884280445009920000000000000)*n^58

+ (66194495959/835554903920937194723637752415980911180347293904018352373760000000000000)*n^57

+ (1145943910171/25653001436169124399409930995227484115186101128632142397440000000000000)*n^56

+ (192317448525879899/11719756941838408547044708474676784885766450201337941626716160000000000000)*n^55

+ (3138710955623871959/710288299505358093760285362101623326410087890990178280407040000000000000)*n^54

+ (220289987610944654833/236762766501786031253428454033874442136695963663392760135680000000000000)*n^53

+ (514677202579209674891/3226327006837755142866425474256150679011580217635331112960000000000000)*n^52

+ (1743862761415964445013/76145829706835130120099202626674884906741840800833863680000000000000)*n^51

+ (60808411502362672186573/21640521845172060047972829904512908467152467789302726656000000000000)*n^50

+ (47210152529198562800189281/157666659157682151778087760732879761689253693893491294208000000000000)*n^49

+ (290012911729147013895611197/10323412206752998033089079571795698682034468052550025216000000000000)*n^48

+ (7465433073390880474749854171/3176434525154768625565870637475599594472144016169238528000000000000)*n^47

+ (14860967481446419794681613051/83675073610966549407003684472508196004332061216210944000000000000)*n^46

+ (2816423067910246120279108772711/229196940760473591853966613989913754272735645940056064000000000000)*n^45

+ (834173680834968814750558037719/1056902888882289290499187284538469222601547774427136000000000000)*n^44

+ (14598896410537692617841015034387/306413022407050256489260179130900741006331077459968000000000000)*n^43

+ (7484858606858345341455245281278469/2745840727926744934120812147870707415529602523594752000000000000)*n^42

+ (36988534640833598944606124954095559/249621884356976812192801104351882492320872956690432000000000000)*n^41

+ (31542958383272851876417403034061522747/4135504023157963406877076832463809339242755020292096000000000000)*n^40

+ (2113652669596713357685177173164195044657/5726082493603333947983644844949889854336122335789056000000000000)*n^39

+ (1288601727227541332528384158042211269649657/77352342457448546314866781238796757681382705237852160000000000000)*n^38

+ (3296518418656618211583891065686293157972759/4735857701476441611114292728905923939676492157419520000000000000)*n^37

+ (91990588949424164741570349001721207682521167/3434563468187869817069374456548890785080699267317760000000000000)*n^36

+ (20820379378011851593436201730116525965600447/22016432488383780878649836259928787083850636328960000000000000)*n^35

+ (41595664818455012677960859196874158865885339/1360492560185331676399039198474506153725767188480000000000000)*n^34

+ (677797171678434564797144670827500373303343017/749659165816407250260695068547176860216239063040000000000000)*n^33

+ (130958433926737355989394761558844925597132020177/5356939455729743475821216843993367980295208304640000000000000)*n^32

+ (8339550097514236500738952399598557313667795799/13799135659280223614866287888359003061831598080000000000000)*n^31

+ (31300691219026863072884356304153399742797940627331/2290893923924977855097736972915136168531775717376000000000000)*n^30

+ (22322064581478575478116423956895624203780846191427/78996342204309581210266792169487454087302610944000000000000)*n^29

+ (312126670616111026689872450790583142705321908332740141/58365130831950728917518781614556313994835412385792000000000000)*n^28

+ (110109070257341853034342271869950613361479471943886497/1188430265808951493795631299843906846048684867584000000000000)*n^27

+ (588982154586756832995455157611802736838919944035534348687/400699071288584811991427019930703924926081581187072000000000000)*n^26

+ (1834075567472585335940767914313519292545590347259971025019/85864086704696745426734361413722269627017481682944000000000000)*n^25

+ (369986261121960491553342745539878332282611657832884921889/1300971010677223415556581233541246509500264873984000000000000)*n^24

+ (7548429684110045868674472325861440821988597115518782203/2175536807152547517653145875487034296823185408000000000000)*n^23

+ (16766616320983339827122932843727850325179264674145916023361/432222410447111560083306525132087096492762857472000000000000)*n^22

+ (1616022891016866198128408217152741769760085977049194267513711/4066819952843276951692929577379183135181905068032000000000000)*n^21

+ (538941687040117622972166046619791637667830108777090537713087/144573008480578174182989647949306141001388130304000000000000)*n^20

+ (18835378557473229790760498161165770967901755244896717424344801/588618677385211137745029280936460716934223101952000000000000)*n^19

+ (79655666522137150510010771949306647161958717431074167698461367/317392424080260907607613827955934700307669319680000000000000)*n^18

+ (31643516475449024097301144430251200110346053201943021255888599/17632912448903383755978545997551927794870517760000000000000)*n^17

+ (3119570890381935887850913853900694178371938218412820941465156989/267432505475034653632341280962870904888869519360000000000000)*n^16

+ (31926787149992570765983463044091998590476079035210759574789538373/464973872931445852419938538794419531872856965120000000000000)*n^15

+ (5371857688180123572096486114467580410505611740588825123479163191961/14745307818871457107801990328738183033483176181760000000000000)*n^14

+ (912465001657494058002176499969450715485945194511984274694674676357/526618136388266325278642511740649394052970577920000000000000)*n^13

+ (3785103088177584411713962690861605944598506172984669464775376686043/515646925213510776835337459412719198343533690880000000000000)*n^12

+ (648151290471264111381181029845577576713746235517141729873435557/23568121267585848385910574496673485915422720000000000000)*n^11

+ (733451702552394113822754539791468984917343051116033596222178465337/8116664563546002968704385935200209603555622912000000000000)*n^10

+ (2790650472605741319627593276416691680547925513730347107424695741/10822219418061337291605847913600279471407497216000000000)*n^9

+ (2192221109371904639740968300097929735334469901404538545293380593/3472128729961345714390209538946756330409905356800000000)*n^8

+ (3239102391827737893939930523551504376388293849957909345934058571/2480091949972389795993006813533397378864218112000000000)*n^7

+ (7689651450716683695466041921325990393858780501402849365584689/3439164661133873866761626402858975957085388800000000)*n^6

+ (3643399079725443015241877949608322329848011782980652631233/1182781497215353446240770985110229826510848000000)*n^5

+ (103779403372006934978634260425190697485139195533132473471/31617643919068430868124505770803762678374400000)*n^4

+ (372094690605307227479798126516546137529923545527399/146231749357440850205926045116012518400000)*n^3

+ (245847598828937657355463658884973322326068973/191275733551539357132824522990880000)*n^2

+ (54130348505995807424969189156633/164249358725037825439200)*n

+ 3385762

Example

Some solutions for 4X9
..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..1..1
..0..0..0..0..0..0..0..1..2....0..0..0..0..0..0..0..1..2
..0..0..0..0..0..0..0..3..4....0..0..0..0..0..0..0..3..3
..0..0..0..0..0..0..1..4..4....0..0..0..0..0..0..0..3..3

Crossrefs

Sequence in context: A216015 A246109 A038545 * A023050 A233704 A153432

Adjacent sequences: A186091 A186092 A186093 * A186095 A186096 A186097

Keyword

nonn

Author

R. H. Hardin Feb 12 2011

Status

approved