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A186093
Number of (n+2)X8 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order
1
2985984444, 157927508610, 4754203179765, 101247852066065, 1673362343532954, 22643128901373831, 259853049462211773, 2592687547629453409, 22907454134721104261, 181779916277569250780, 1310255676432577695484
OFFSET
1,1
COMMENTS
Column 6 of A186096
LINKS
FORMULA
Empirical: a(n) = (1399/353950176700618384894744935853595446756409484509184000000000000)*n^54
+ (469997704997/112496928527895409586789835615510517097114310220179308544000000000000)*n^53
+ (10214582150497/4744598539467286974803566873906103939722912084757839872000000000000)*n^52
+ (1119233836831769/1551118753287382280224243016469303211063259720016986112000000000000)*n^51
+ (4968934057337839/28074547570812348963334715230213632779425515294425088000000000000)*n^50
+ (1236763075734263713/36496911842056053652335129799277722613253169882752614400000000000)*n^49
+ (3930095383287569819/744834935552164360251737342842402502311289181280665600000000000)*n^48
+ (897254480093375787829/1303461137216287630440540349974204379044756067241164800000000000)*n^47
+ (8556498354304014800879/110932862741811713228982157444613138642106899339673600000000000)*n^46
+ (36655687107315572364037/4823167945296161444738354671504919071395952145203200000000000)*n^45
+ (6503065239602389729717013/9646335890592322889476709343009838142791904290406400000000000)*n^44
+ (10209576418368706355032673/185506459434467747874552102750189195053690467123200000000000)*n^43
+ (14968152453856951285290359/3560847504832898814867740621266090122846771609600000000000)*n^42
+ (25935395240999252574649267529/85774532542886592040490575553439053253279586713600000000000)*n^41
+ (362963978606561910071524705483/17782525039378927618150485175712974454948207001600000000000)*n^40
+ (218957897382109664681536441289/170985817686335842482216203612624754374501990400000000000)*n^39
+ (213117294283153815579599140411/2885120496940654414091985569642303547758346240000000000)*n^38
+ (9508114469517913609218281199537511/2447796968983334166061200388559680694203396915200000000000)*n^37
+ (12606876113994487381855997461441/68074095185101090612463683533759839836569600000000000)*n^36
+ (8518200846984057644133197635246471/1067043142538506611186225103992886091631820800000000000)*n^35
+ (20894273385260719066335000674610648191/67218011866864213260822094786289829729533952000000000000)*n^34
+ (4042975512056693400163426032819616118039/369699065267753172934521521324594063512436736000000000000)*n^33
+ (2958354176656932673550974100476748556186769/8503078501158322977493994990465663460786044928000000000000)*n^32
+ (1638642104269247625618710760128373892877089/163520740406890826490269134432031989630500864000000000000)*n^31
+ (10252584791714539506236168133675628178461481/39184693553724990679695829449150522860765184000000000000)*n^30
+ (4422118897417776999759106146570325491532113269/713161422677794830370464095974539516065926348800000000000)*n^29
+ (6568035419256886614953167257234440779883570549/49183546391572057266928558343071690763167334400000000000)*n^28
+ (2474830354574963324410321218103945021860352649/945837430607154947440933814289840206983987200000000000)*n^27
+ (394064626252513635020823543957403039255859571679/8439780150033074915626794035201651077703270400000000000)*n^26
+ (2451006869518711895507052461468427773183143269547/3226974763247940408916127131106513647357132800000000000)*n^25
+ (7361947996068172314899517529804538802881401449157/653078225895416511328263824152508714346086400000000000)*n^24
+ (1411740344232014465268817779006196843243259961126389/9242476631693829323363038033114851587810918400000000000)*n^23
+ (297032764961867729871647604033895939109880427744094773/157122102738795098497171646562952476992785612800000000000)*n^22
+ (1679213535802487827811859497709749582911540306841298989/78561051369397549248585823281476238496392806400000000000)*n^21
+ (15937752742365908032609531571214447411181474065879001/72206848685108041588773734633709778029772800000000000)*n^20
+ (10337090653487133333830412258929502963711595229052677/4969702136222010959551228699486098083020800000000000)*n^19
+ (1722217771693772488411939327138999568043040921497812147/96420573883272091625309889255239523143516160000000000)*n^18
+ (113297700357184078019952156513338266239830365044310836119/812432613275718549805851844650629315375923200000000000)*n^17
+ (11426245197703999744461945639322217623761664796880021960119/11577164739178989334733388786271467744106905600000000000)*n^16
+ (936209157678890196336844645773266432007786157867559753581/148425188963833196599146010080403432616755200000000000)*n^15
+ (28271145253300855157710932621335941606893991458756973351189/780183685579123212892946976063659068882944000000000000)*n^14
+ (314668239526721624892996595774978437501287374596756391026131/1690397985421433627934718448137927982579712000000000000)*n^13
+ (160901881309525243734795109261553257572772862884871508227999/189289357742504286461439826223778393882624000000000000)*n^12
+ (12109387966342298775436891052142470357998333236620977404719051/3533401344526746680613543422843863352475648000000000000)*n^11
+ (5123493109439591176613198562468701183608004967674498856329381/423272036063099862781830722528171130765312000000000000)*n^10
+ (49267417207689848690643697265047936745318804937106111981519/1327912270001881922452802266755046684753920000000000)*n^9
+ (3476950162811781041217358892696574213227527454241298877333/35651945689902676614240222148430184849408000000000)*n^8
+ (4907996689746542751122378701264948464723729422419462489573/22670980848963753334183525879001758570905600000000)*n^7
+ (564687542603752105573043955570704171384328943242922194613/1420149310550167088110702726547445760819200000000)*n^6
+ (250084493525040313451915457987371774084364553350617123/425390346478160648512422475693935366144000000)*n^5
+ (852943959588379444374425691456048724735612556693/1266757803063075171456726411079987200000)*n^4
+ (3269427675364705063193949023193816729503947/5808609706353161875111262963893248)*n^3
+ (199167915478761935824824458655879154201/646258568494325032377251120000)*n^2
+ (893723228973913398303843129707/10265584920314864089950)*n
+ 1305521
EXAMPLE
Some solutions for 4X8
..0..0..0..0..0..0..2..2....0..0..0..0..0..0..0..4....0..0..0..0..0..0..0..4
..0..0..0..0..0..0..2..3....0..0..0..0..0..0..1..2....0..0..0..0..0..0..1..2
..0..0..0..0..0..0..3..3....0..0..0..0..0..0..3..1....0..0..0..0..0..1..1..0
..0..0..0..0..0..1..1..1....0..0..0..0..0..1..2..3....0..0..0..0..0..1..2..2
CROSSREFS
Sequence in context: A067615 A204338 A185889 * A357461 A336966 A333127
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 12 2011
STATUS
approved