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A219517 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX6 array 1
6, 7, 70, 380, 1961, 9292, 42906, 193830, 844076, 3502384, 13875479, 52704643, 192502374, 677308600, 2299354092, 7545224194, 23977606181, 73928754282, 221543426554, 646331532510, 1838498878117, 5106121007958, 13864227704969 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A219519

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = (1/996638499844342682259514982400000000)*n^35 - (1/2109287830358397211131248640000000)*n^34 + (3481/30150408398652383664993730560000000)*n^33 - (1/57451344988562065981440000000)*n^32 + (3941983/2569637079430600880539238400000000)*n^31 - (52501/3157772140621322126622720000000)*n^30 - (8630124989/464192504671334352613539840000000)*n^29 + (8663401/2549233650599614218240000000)*n^28 - (1353570768013/3811104307646423256268800000000)*n^27 + (3987205338871/169382413673174366945280000000)*n^26 - (6649523567591/10319297817627238355435520000)*n^25 - (42453409910897/646572544964112678912000000)*n^24 + (83948137468252918309/7336375792219364768317440000000)*n^23 - (62062021010804083/63123880871990447308800000)*n^22 + (126648093629631123299/2209335830519665655808000000)*n^21 - (1627107387267815159887/736445276839888551936000000)*n^20 + (34045211140380324133135217/1126761273565029484462080000000)*n^19 + (511493639115914095786007/161369319522381594624000000)*n^18 - (59999625711530848722007248667/185584209763651915087872000000)*n^17 + (12346256426961529964964377741/679795640159897124864000000)*n^16 - (83883428537148683879442229029179/113918878761170260377600000000)*n^15 + (23826272808262764844379852980729/1065907637531417640960000000)*n^14 - (2203504076343744801438626143634731/4651125819243046133760000000)*n^13 + (4452292567664906277988642022913433/1047006677924841553920000000)*n^12 + (205979565411356106750867135788614734491/1250518600946482630963200000000)*n^11 - (60478314026128498781600991086804196979/5954850480697536337920000000)*n^10 + (3877467151545608374213427088446168223119/11909700961395072675840000000)*n^9 - (3345058625739450717873693343398718667693/441100035607224913920000000)*n^8 + (137780202780378270057484987132503945000211/999367268172618945600000000)*n^7 - (38608557441373453770477964068751348379/19359844406622720000000)*n^6 + (242834136062879674515543239096167828903678163/10602176307235739658432000000)*n^5 - (31903138031487438054455911463354265864029/155343242596860654336000)*n^4 + (4262906355062409486291477498732085318444027/3065255054813053982880000)*n^3 - (442878018983012565903545320930327363/66056861816946000)*n^2 + (9629647716102589680203242616977/468842704200)*n - 30087611993277671862 for n>30

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A217548 A256292 A042877 * A232008 A156791 A223532

Adjacent sequences:  A219514 A219515 A219516 * A219518 A219519 A219520

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 21 2012

STATUS

approved

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Last modified September 21 23:55 EDT 2019. Contains 327286 sequences. (Running on oeis4.)