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A219353 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX7 array 1
7, 7, 76, 364, 1880, 8744, 39967, 180591, 808247, 3528186, 14892204, 60674978, 239213184, 915248981, 3405898937, 12347166730, 43666667442, 150852326689, 509698451147, 1686262966158, 5467965888270, 17394300884165, 54328408742819 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A219354

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..181

FORMULA

Empirical: a(n) = (1/850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000)*n^71 - (1/266190481554886484357172971593091083032420847612142796834563619213955768506441007104000000000000000)*n^70 + (2203/342244904856282622744936677762545678184541089787040738787296081846514559508281294848000000000000000)*n^69 - (163/21106685467547494464689280158035502817424674054088235509546474366112522942231347200000000000000)*n^68 + (3943351/547066663772830279323747886449081966407514529710742868905524427504019436554158080000000000000000)*n^67 - (317123/57299467271309796210918867394509763436241375198820934161353697565228534857728000000000000000)*n^66 + (751806919/207840794920478260801423891730994505555093715493905024821637502986601685529395200000000000000)*n^65 - (10973112091/5329251151807134892344202352076782193720351679330898072349679563759017577676800000000000000)*n^64 + (118484717828537/114198238967295747693090050401645332722578964557090672978921704937693233807360000000000000000)*n^63 - (324188256807967/692110539195731804200545760009971713470175542770246502902555787501171113984000000000000000)*n^62 + (1549642516010528183/8104391152517762739509616480116765548053991033083854211407346802029842399232000000000000000)*n^61 - (629630151829392851/8857258090183347256294662819799743768365017522496015531592728745387805900800000000000000)*n^60 + (12835592460074198657963/530270056714924079159746260922221501921853022728379877220354155151506800640000000000000000)*n^59 - (51802457861365163387543/6830597340734615256973002683065904092552683004636757740465578947714324889600000000000000)*n^58 + (369179520728848375968503/168241313811197420122487750814431135284548842478737875380925589845180416000000000000000)*n^57 - (347167199000899366036349/590320399337534807447325441454144334331750324486799562740089788930457600000000000000)*n^56 + (40052755100546253319934571337/273694003329220683452850886492376009553811514080243433634041629413212160000000000000000)*n^55 - (13150749063100103501292028259/388218444438610898514682108499824127026682998695380756927718623281152000000000000000)*n^54 + (159540424941916778805870543079981661/21840781465671810539537500742091605562394158823603426003996522027174330368000000000000000)*n^53 - (10452238781476655287922736450997/7115431517455415480245936462542406996067483030141253204190435894886400000000000000)*n^52 + (1009686671778429527336974181639473631/3662728167152338609342984415408515281956796280378908752850339401564160000000000000000)*n^51 - (421120177465114679811814143775833341/8720781350362710974626153370020274480849514953283116078215093813248000000000000000)*n^50 + (19003438804117188530941496910940123747649/2406935652700108228996818330125595756714466127106140037587365892456448000000000000000)*n^49 - (10169820849407495685190435735500893755091/8445388255088099049111643263598581602506898691600491359955669798092800000000000000)*n^48 + (374857333508018864190267740000666562399988760233/2190311443957098488387104680414292138610164175666587434204502962135367680000000000000000)*n^47 - (3056311831334009436652027681378028762105990621/135079336660937310415485950071803400469328657148725712871076346724352000000000000000)*n^46 + (265549412704424136353946613970274301127816857/95687841790510491439541405009541960190787714627196490817763645849600000000000000)*n^45 - (110358704813574658406737534094124406206613606447/350855419898538468611651818368320520699554953633053799665133368115200000000000000)*n^44 + (12494502655418164457599969881032210204346097950190223/381555269139660584615171352475548566260766012075946007135832537825280000000000000000)*n^43 - (166796497921756799095304420154840572582739893503321/53778050618697756816796526071254202432807048918385624684402049024000000000000000)*n^42 + (6513120906830890482609720908127736319253294180431777803/24772811843774508784888182193910905145231836551755286795409554407424000000000000000)*n^41 - (10236573091997366453943948137178045876926365593182265157/529850009416565478701173127599595344569686560394015514948722176819200000000000000)*n^40 + (293137475586164394204799492869853969466674510511056287333539/257355718859474661083426947691232024505276329334236107260807914455040000000000000000)*n^39 - (7149716633732948743872609295039346180888874492223724541601/180600504462789235848018910660513701407211459181920075270742396108800000000000000)*n^38 - (4838203416039000245484560684646787204688413618880202175823717/2709007566941838537720283659907705521108171887728801129061135941632000000000000000)*n^37 + (2555666485929720771802274227603035794061909735800809872569297/4881094715210519887784294882716586524519228626538380412722767462400000000000000)*n^36 - (189105841295035407004667310987763405641994107443968644826956943183/2935248631711087168941157951190940119065024979455483676562523422720000000000000000)*n^35 + (12445287688891917211603357594125531407370271171661128729280251383623/2087287915883439764580378987513557418001795540946121725555572211712000000000000000)*n^34 - (21884257133709096041654965268868682379832090404942080692664465169381/47922426640181015003120946141892899903102448644171162066326913024000000000000000)*n^33 + (30067805873092990774759702689024348357544098740615147772961303144691/1016536322670506378854080675737122119156718607603630710497843609600000000000000)*n^32 - (9516797112607205410187511987691966583419121766870482695160238626871247/5957468376033717567290386646687400965304247667655634082164899840000000000000000)*n^31 + (719155323279936673101935903755695729454201074592144223877788984870475143/10702539679050046998079571800364734365739560722244507544099749888000000000000000)*n^30 - (35970443873463216700889565925350697261379141507867708521028331800279900651111/22161453670935027490040663683655245389499232813462812267910963134464000000000000000)*n^29 - (5759295957221281225027109910966264853067170253185453446115215629318919855173/113648480363769371743798275300796130202560168274168268040569041715200000000000000)*n^28 + (17286801969410163281090682984450958737963080378629684394906226066335526829713007/1750389541316983627304035936552440398209074020294109485446264258560000000000000000)*n^27 - (371659200583810591354809843615442598530650623245959453528339990329204555625890701/466770544351195633947742916413984106189086405411762529452337135616000000000000000)*n^26 + (1767172551393413853462456166897905148803362920486724411946832942774371371882079341/37394685655408286583313495008165772143557490433555975370897463705600000000000000)*n^25 - (4898035451270710922056186053010677508087783156145300816810537347872002518350513317/2167807864081639801931217101922653457597535677307592775124490649600000000000000)*n^24 + (96906625515126408129844010574898653088611538441648948912276019062632405004188111620251/1103157488728387096574866071274455558849798583156199349709732577280000000000000000)*n^23 - (5359452965968385961167573039107724794611585961993393354114470545272757131654346459159/2027078557624695825427703612593293580091506100577155478190030848000000000000000)*n^22 + (107556820014884730100239001184358175296329744054979054414401571266032989796161855704822191/2195808715659360982706161989489154398091503846472815848469848653824000000000000000)*n^21 + (3752000791315999821858635960799506168441052789484081951210175994609396534441439878108827/7704591984769687658618112243821594379268434549027424029718767206400000000000000)*n^20 - (592390087064345454499180508775161964833237477622736080600975768422144402098218861668549437/6255260036654311364993259021485056711109482706777779926089072640000000000000000)*n^19 + (230405180755165023038172126866480199616301540548571982403659359736281570580092216921085269/44481849149541769706618730819449292167889654803753101696633405440000000000000)*n^18 - (1223625083081418128889550697688464964653846083666349195165834278559331269947838527626601199099/6162589517592766011437803332277870685759712592603294297554419712000000000000000)*n^17 + (141171606990972352479799532628607046627696797724543468064909877502616306668325926481997815077/23702267375356792351683858970299502637537356125397285759824691200000000000000)*n^16 - (1315746128779511962516075561038475685598758140271907638564355854274336172150755149225569282417/9298779138059347648793721728066633881068497397680212216381440000000000000000)*n^15 + (782505717917455333049799412182162171998448976656544893618092770616014233210878017415283462599/309959304601978254959790724268887796035616579922673740546048000000000000000)*n^14 - (9976268585676175205669559739862975372923901064629595296279539764463350205471885386284141672347/380991645239931605054742765247174582627112046154953139421184000000000000000)*n^13 - (2080867581170332997829362798593925937440258945336233143378866423867027859192327361737107711/10127369623602647662273864041658016550428284055155585843200000000000000)*n^12 + (803164477876435148383879404163203332391624760633531616321026657816377405321532751764149407504896237/44517015824065393569362783188363552029852885688783666853833605120000000000000)*n^11 - (13765566659285123057098637248142421522893112221117349945981413187983341829415652231475017050406450889/26710209494439236141617669913018131217911731413270200112300163072000000000000)*n^10 + (319628323125792499903246980284558728514142870923370448034268692625815686379718736608015628689922583/31797868445760995406687702277402537164180632634845476324166860800000000000)*n^9 - (237085974092337968711874354366824066936975384456929717186163791158226757276181837528874520778853/1610834267769047386357026457821810393322220498219122407505920000000000)*n^8 + (44379695300587455090583253428604015219292083881300070096435406578638875243847314415856906438051/27360896682556736005511567597781175685894008887693001777152000000000)*n^7 - (366507839116405413053314964221736919449290038806260847076787261745872369606513016754276210331/28953329822811360852393193225165265276078316283273017753600000000)*n^6 + (13923387265035762261154991010293984973052637520742110904355323870872384218101791255821621347/254141497248532166060252396673386157384578978084550696960000000)*n^5 + (2937592741539342827457393253521053232185538676582336357179162693925640003615722281113/27330235109081848355941495015571354742891306509184000000)*n^4 - (56324410185351188075568659850689823955659754551249037610618671954281622334722247641/15311056083519242776437812333653420024028743142400000)*n^3 + (26308899340368863097672566999690906784910682243036797776145087082367455273/953206423475322355939193764515437252160000)*n^2 - (827323559938494147873680335375246005889226850348810079088413/8034347953824465037930781616)*n + 161358199312242489221914716096690 for n>63

EXAMPLE

Some solutions for n=3

..0..0..0..1..1..1..1....0..0..0..1..1..1..1....0..0..0..0..0..1..1

..0..0..0..0..1..1..1....0..0..0..1..1..1..1....0..0..0..0..0..0..1

..0..0..0..0..1..1..1....0..0..1..1..1..1..1....1..0..0..0..0..0..1

CROSSREFS

Sequence in context: A117860 A274908 A009201 * A269902 A269937 A065240

Adjacent sequences:  A219350 A219351 A219352 * A219354 A219355 A219356

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 18 2012

STATUS

approved

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Last modified January 19 21:47 EST 2020. Contains 331066 sequences. (Running on oeis4.)