A219169 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX4 array

10, 53, 644, 5853, 43013, 276278, 1613256, 8712423, 43862661, 207505133, 928829599, 3955817599, 16102004166, 62882186263, 236393038533, 857975289846, 3014067656477, 10271326913737, 34019623251324, 109697050897692

Offset

1,1

Comments

Column 4 of A219173

Links

R. H. Hardin, Table of n, a(n) for n = 1..174

Formula

Empirical: a(n) = (1/239465964362192759854596625142233314786294104064000000000)*n^48 - (1/296956801044385862914926370464079011391733760000000000)*n^47 + (106397/76425307775167902081254242066670206846689607680000000000)*n^46 - (1247461/3322839468485560960054532263768269862899548160000000000)*n^45 + (8652559/120830526126747671274710264137027995014529024000000000)*n^44 - (127932017/13133752839863877312468506971416086414622720000000000)*n^43 + (525926287/610872225109947781975279394019352856494080000000000)*n^42 - (22054773121/1003575798394914213245101861603222549954560000000000)*n^41 - (57482647423/7615209310313712187225705182897081679872000000000)*n^40 + (29866983471757/19038023275784280468064262957242704199680000000000)*n^39 - (51373262754021893/289963739123483656359748005041081187041280000000000)*n^38 + (2909441984180881/224430138640467226284634678824366243840000000000)*n^37 - (259371518756160047/536206060968035210907073124542539890688000000000)*n^36 - (3943285313579327671/191502164631441146752526115908049960960000000000)*n^35 + (1245608941431504423131/243730027712743277685033238428427223040000000000)*n^34 - (144600879256254434647/311675227254147413919479844537630720000000000)*n^33 + (105484454036954131407209/4062167128545721294750553973807120384000000000)*n^32 - (30359389674391922912439079/40621671285457212947505539738071203840000000000)*n^31 - (125538265194490804399594259/6224288342126508435504881088898007040000000000)*n^30 + (28538329249282628312273140409/7113472391001723926291292673026293760000000000)*n^29 - (6154354400432692972060914804547/22664994790639975544459153206469984256000000000)*n^28 + (629379764631642635266153142376139/56662486976599938861147883016174960640000000000)*n^27 - (43130622558154250339383435262079077/200498030840276706739446355288003706880000000000)*n^26 - (698339990020624072123683356678201501/100249015420138353369723177644001853440000000000)*n^25 + (39698725040344819356007347670347477697/47390443653156312502050956704437239808000000000)*n^24 - (30431239409785420027366493798117868023/735876454241557647547375104106168320000000000)*n^23 + (4388886419189784464797343335151127984001/3434090119793935688554417152495452160000000000)*n^22 - (22678259794412994923784749791818974423/1097854897632332381251412133150720000000000)*n^21 - (91082662218915435712432640577749213593141/324745478719643918374167708985982976000000000)*n^20 + (32051237320554607410136669218185197430734673/982782369809448700342875961404948480000000000)*n^19 - (418516484073091922482512332979184127492743520617/335128788105022006816920702839087431680000000000)*n^18 + (21021353557907639318317542715335008522337288413/704052075850886568943110720250183680000000000)*n^17 - (216883959511615332977906032342571210351289957947/523638731414096885651438598186074112000000000)*n^16 - (3305404619022071041040567228371284040436597556763/5236387314140968856514385981860741120000000000)*n^15 + (386520344437603414043765725542558753884103480641/1808300894117575362691663984066560000000000)*n^14 - (20329077100678656877495126406695030185386677183243/3051507758823408424542182973112320000000000)*n^13 + (476745152916382794559675744526380986016091036518914611/3718363921051617278918801358836465664000000000)*n^12 - (4638649532511195463938063242935547022593897509539259/2749455723936422122832594911887360000000000)*n^11 + (13920981151677298636892076278507597936846302528092581029/1032878866958782577477444821899018240000000000)*n^10 - (112723679833211318702444758596269964860664403087301081/28691079637743960485484578386083840000000000)*n^9 - (187401379566671452334364753408646849922401463739153398579/107830640971854384824612873767698432000000000)*n^8 + (160345309313698848462003658637096234500240545301575970313/5391532048592719241230643688384921600000000)*n^7 - (2306581615400479828552601689894385714776913179080487823383/7727862602982897579097255953351720960000000)*n^6 + (2177114622261374989878783658638781781049174825949938859/1082333697896764366820343971057664000000)*n^5 - (203353933955876815335484954743885696642791297367409229/22900025750954267717897970383308800000)*n^4 + (387262706201156182475003162035880179692738908473751/18174623611868466442776166970880000)*n^3 + (18734941988731977175843628396996475237475457/53873355795581812304518704000)*n^2 - (350929695958376612233355781376366331/2406090453607140300)*n + 275373669709428613 for n>27

Example

Some solutions for n=3
..0..0..1..2....0..0..0..0....0..0..0..0....0..0..1..0....0..0..0..1
..0..0..0..1....0..0..0..0....0..0..0..1....0..1..0..0....0..0..1..1
..2..0..0..0....2..2..2..2....0..1..1..1....2..1..2..0....0..1..2..2

Crossrefs

Sequence in context: A007035 A093187 A208616 * A292058 A152762 A161458

Adjacent sequences: A219166 A219167 A219168 * A219170 A219171 A219172

Keyword

nonn

Author

R. H. Hardin Nov 13 2012

Status

approved