Column 1 and Row 1 Number of (n+2)X3 0..5 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order Empirical: a(n) = (1/12696403353658275925965100847566516959580321051449436762275840000000000000)*n^55 + (1/491156802849449745685303707836228895921869286322995619430400000000000)*n^54 + (18559/6412324926090038346447020630084099474535515682550220587008000000000000)*n^53 + (49451/24197452551283163571498191056921130092586851632264983347200000000000)*n^52 + (175435499/186134250394485873626909161976316385327591166402038333440000000000000)*n^51 + (5368081/16844728542487409378000829138128179667655309176655052800000000000)*n^50 + (8845429/105010296220749514984340207222985774782378046337843200000000000)*n^49 + (85093617373/4692460093978635469585945259907135764561121842068193280000000000)*n^48 + (93036113835839/28439152084719002845975425817619004633703768739807232000000000000)*n^47 + 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(5711740490195223581019217882892372262301/13009937780683396114997824797346418657329152000000000000)*n^27 + (50456509312118928749387352660025578132127/5063868090019844949376076421120990646621962240000000000)*n^26 + (8765588185373284736326656784305894065716032949/42090238580733698738595275202805034130890922393600000000000)*n^25 + (613120594591414915571810949885324444354784237/153055413020849813594891909828381942294148808704000000000)*n^24 + (333953167899215933886702107966177726043085597379/4713663082163852954915149396888574309783568384000000000000)*n^23 + (248252677827010227413667674646896703769417537/215728287513219814870258553633344362003824640000000000)*n^22 + (2020133268998161194779644889873928642492219245221/117841577054096323872878734922214357744589209600000000000)*n^21 + (344459365817572327025126365665988166974265622199/1473019713176204048410984186527679471807365120000000000)*n^20 + 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(126178701900377420836396891364977720400270407/962050982614742435565302928394819200000)*n^3 + (23588670590447441930529164070162527/202742333053195459323514176000)*n^2 + (49688074639397160884753239/801216384024574758240)*n + 5951 Column 2 and Row 2 Number of (n+2)X4 0..5 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order 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 + 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nondecreasing order Empirical: a(n) = (5150863/824765059208247066672317030678549625218625855134543749292212313438895577497600000000000000)*n^65 + (295665757/25377386437176832820686677867032296160573103234909038439760378875042940846080000000000000)*n^64 + (1054942319/99130415770222003205807335418094906877238684511363431405313979980636487680000000000000)*n^63 + (577552110977/75527935824931050061567493651881833811229473913419757261191603794770657280000000000000)*n^62 + (59894488270867/12181925133053395171220563492239005453424108695712864074385742547543654400000000000000)*n^61 + (1065405880438153/399407381411586726925264376794721490276200285105339805717565329427660800000000000000)*n^60 + (486941503222193479/419377750482166063271527595634457564790010299360606796003443595899043840000000000000)*n^59 + (1148852947820574869/2843238986319769920484932851759034337559391860071910481379278616264704000000000000)*n^58 + 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