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A186173
Number of (n+2)X4 0..5 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order
1
10084236, 311128593, 6520730198, 105970767207, 1414199542732, 16059530994398, 159099595031390, 1400823449171621, 11121210203531892, 80539662788823416, 537137318447864717, 3325230272014630746, 19236676772755037673
OFFSET
1,1
COMMENTS
Column 2 of A186180
LINKS
FORMULA
Empirical: a(n) = (11659/8320987112741390144276341183223364380754172606361245952449277696409600000000000000)*n^60
+ (61687/25215112462852697406898003585525346608345977595034078643785689989120000000000000)*n^59
+ (345089/52920705394736478165016320687018566990518476206704906365944463360000000000000)*n^58
+ (41337683/5229279936113189258797497020055783501287791586609884147765739520000000000000)*n^57
+ (4091695141/746237584868078258505703886550848343746761727105599548476620800000000000000)*n^56
+ (285065664493/110804974722835862626604516487853238919973710994467811743498240000000000000)*n^55
+ (1389788350937251/1551269646119702076772463230829945344879631953922549364408975360000000000000)*n^54
+ (63345109209845371/258544941019950346128743871804990890813271992320424894068162560000000000000)*n^53
+ (726756631667202569/13304199366378233934583732682932635890905934424721692662169600000000000000)*n^52
+ (294315844397598461/28865126830406424710142220811096448678494137805116098478080000000000000)*n^51
+ (2705501012933071231/1664959920705123522776606753339210283438519007515268066836480000000000)*n^50
+ (141579166580962547009/630666636630728607112351042931519046757014775573965176832000000000000)*n^49
+ (73619205397094290206387211/2705559871145825724511985974176216710587593387212310608609280000000000000)*n^48
+ (52705390081670842022120437/18037065807638838163413239827841444737250622581415404057395200000000000)*n^47
+ (248206286570763554421374089/885616979098469958923726996457026746509850535912376631296000000000000)*n^46
+ (183320762759345453080936969/7584335130619307948622167953848055141388706829289127936000000000000)*n^45
+ (1041661726281461663923826530129/552572988087978150542472236637501160301177211848207892480000000000000)*n^44
+ (2460644826847222342272917827871/18419099602932605018082407887916705343372573728273596416000000000000)*n^43
+ (805225259930131652043133948240991/93224787419493988188772271635671443112122497897435496448000000000000)*n^42
+ (87378972327841959864234265929931081/170912110269072311679415831332064312372224579478631743488000000000000)*n^41
+ (191087011209779273801371640523940602379/6878170291316324738317954187753807693028550149749814067200000000000000)*n^40
+ (2227347482062472577511659145638024079/1603303098208933505435420556585969159214114254020935680000000000000)*n^39
+ (40414136564447976084137075388539887409/631012212362240358115366451879051382858964334354104320000000000000)*n^38
+ (8314952914533905833626880915264466703301/3049892359750828397557604517415415017151660949378170880000000000000)*n^37
+ (8046992463372241997688433611264813818185789/75010866145223076804795138131027774746162471998219878400000000000000)*n^36
+ (887723171017589125947871692540851442822433/227305654985524475166045873124326590139886278782484480000000000000)*n^35
+ (73839072736038071040449961355116406766569/561017659363696771286003800389123628481825451540480000000000000)*n^34
+ (54924717096564499328176950771191418689480507/13370920881501439715649757242607446478816839928381440000000000000)*n^33
+ (17940811104418708763265105822064937903535455623/151074041128652630553445309104785434241177282307686400000000000000)*n^32
+ (176173032978130036120256074133059401298701898063/55393815080505964536263280005087992555098336846151680000000000000)*n^31
+ (403826141379412502244713218759944003063719940452069/5118388513438751123150727072470130512091086324584415232000000000000)*n^30
+ (40062202292448008200970993988209506884730582259/22100695671903206141569846681995779303829487484928000000000000)*n^29
+ (144628878355661578019273689047980142406558608199777741/3750543307261153840239756906551388737308123599910993920000000000000)*n^28
+ (47106878461802396990704651381396630014462758481727/62043727167264745082543538569915446440167470635417600000000000)*n^27
+ (28497202544243667160660952146224487916066473232154671/2060738080912721890241624673929334471048419560390656000000000000)*n^26
+ (7269902191088652574309090977840593019717308684887861/31223304256253361973357949604989916228006356975616000000000000)*n^25
+ (162738954587976244169000737357158341689591130036457372110111/44942589971669167324236632476800447994220640183024353280000000000000)*n^24
+ (3384474106346256691819727086743560438218818337080390088733/65134188364737923658313960111304997093073391569600512000000000000)*n^23
+ (36113818829235303965389511943867931400020819632848289361/52555827082897732914185551461515597439273850109952000000000000)*n^22
+ (136158809423942674910472066793894997722090561469823049976219/16283547091184480914578490027826249273268347892400128000000000000)*n^21
+ (193535492089081879208618066288929215996736100655256493854967909/2070642783305695740359464004478281510031210028046745600000000000000)*n^20
+ (858510295524924528650498523296061097404764773975516811675021/896382157275192961194573162111810177502688323829760000000000000)*n^19
+ (312143028517163966533526544740308296947573318340807435241168103/34774783551929706081120601446164029504509481341419520000000000000)*n^18
+ (6078767640430301141814796110813455045610531479233513837353351581/79209229201617663851441369960706956093604929722122240000000000000)*n^17
+ (906065411479884186398969550261820930875462888638870636999622239267/1518176893031005223819292924246883325127427819674009600000000000000)*n^16
+ (1489074337248139942206822316259902446222414978485033890096820953/353887387652914970587247767889716392803596228362240000000000000)*n^15
+ (568454784805493977833827256097084779947628085575038509136174777/21215187780213014818368169758694732731848243281920000000000000)*n^14
+ (1898878718333078845281810638035810801290430079833233780829490947/12375526205124258644048099025905260760244808581120000000000000)*n^13
+ (1140092022925196599136701974518455666516505291590499094101765285533/1450374169646002130480485544929957454249902945075200000000000000)*n^12
+ (317343895502062187627524738814680806932615128040850987399171172043/88633977033922352418251894412386288870827402199040000000000000)*n^11
+ (620260234878993633055510176216314582523647243439030174658367501/43102287682278774385533635655890768239571238912000000000000)*n^10
+ (124514321522200483443755386192429485511047137769870652415954617/2462054917608954233840330400344063579745205616640000000000)*n^9
+ (3939552998850986723330913061029797847006798501130885334649418489/25631750302964648541587725417867661910561694187520000000000)*n^8
+ (1362174554281735613357919935864860858984596642778769480476355621/3417566707061953138878363389049021588074892558336000000000)*n^7
+ (9582129603470599998339972745980823336564456605861355971893747/11043157726900868986171582379580171798201183436800000000)*n^6
+ (13738798743990281235155252132276717442514465652210693693/8852940297339160643074861615825053549944832000000)*n^5
+ (10114485451216529698510511591503618374630300536380632257/4584558368264922475878053336766545588364288000000)*n^4
+ (454224270006535344472756814663090856470907181411/192760033243899302544175241289289228800000)*n^3
+ (5535135361831671350417893047860841166010101/3224362365583092020239041958989120000)*n^2
+ (6994540789413176985613738707019/9690712164777231700912800)*n
+ 41784
EXAMPLE
Some solutions for 6X4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..3....0..0..0..0....0..0..0..3....0..0..0..3....0..0..0..0
..0..0..3..0....0..1..2..2....0..1..2..0....0..1..1..5....1..2..3..4
..1..5..0..0....1..4..1..3....4..5..5..1....1..3..3..4....3..4..3..3
CROSSREFS
Sequence in context: A017349 A017469 A017601 * A043644 A262556 A155514
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 13 2011
STATUS
approved