A219289 Number of nX6 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..1 nX6 array

6, 15, 136, 1092, 6546, 35654, 185295, 919934, 4332241, 19354356, 82377686, 335088654, 1305431736, 4881371319, 17561579850, 60931312824, 204316648265, 663428883748, 2089694277830, 6395581415830, 19047707831769, 55281031168927

Offset

1,1

Comments

Column 6 of A219291

Links

R. H. Hardin, Table of n, a(n) for n = 1..91

Formula

Empirical: a(n) = (1/14582730679021017755969126400000000)*n^35 - (1/22188432140522258631229440000000)*n^34 + (20477/1323474717087621779533332480000000)*n^33 - (971/273445189480913590812672000000)*n^32 + (1461359/2452090014366888178483200000000)*n^31 - (66045709/873260443826143402917888000000)*n^30 + (440716833901/61128231067830038204252160000000)*n^29 - (4310655227/9033728729235966237081600000)*n^28 + (184257428008961/13550593093853949355622400000000)*n^27 + (441838211207623/301124290974532207902720000000)*n^26 - (84289485235760137/305756972374140395716608000000)*n^25 + (32928887138107769/1273987384892251648819200000)*n^24 - (14588000136565543416851/8694963901889617503191040000000)*n^23 + (7668359672760756901/100710465208873648128000000)*n^22 - (85866619545944089147/45938106937380962304000000)*n^21 - (5985971898392914135453/130923604771535742566400000)*n^20 + (11039952703944040642776277457/1335420768669664574177280000000)*n^19 - (2539787321813591141261771899/4685686907612858155008000000)*n^18 + (5316445410865326684181973838787/219951656016180047511552000000)*n^17 - (206433083911040446234918466627/261847209543071485132800000)*n^16 + (9526999054947869172740500996508329/540059869682584938086400000000)*n^15 - (1423469499658299813274920051243509/9000997828043082301440000000)*n^14 - (53491442730009891250731417250980497/7349927220532221050880000000)*n^13 + (32623826586199070890518717559168481/72385646868877934592000000)*n^12 - (7243026966549173475393792478311496660723/494032039880091903590400000000)*n^11 + (37017493060276215298965945841506518591/108578470303316901888000000)*n^10 - (11022162446334981296802701688695158872629/1841113192099721379840000000)*n^9 + (613756573996749851860305151895545696993/7841778410795109580800000)*n^8 - (7357770298229699902933892817200918643228151/10659917527174602086400000000)*n^7 + (102224501814276219319144373566975791180961/44416323029894175360000000)*n^6 + (229953948767921398028284825383176737419687539/5654494030525727817830400000)*n^5 - (5611331457191684302593952838944658191926523/6731540512530628354560000)*n^4 + (64916473197109664236431786886526197362577/7966874736356215680000)*n^3 - (7198443269517828778302567416152162595977/147438915575423472000)*n^2 + (138454805758956974788166896433573/802241960520)*n - 279089340523564767335 for n>31

Example

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

Crossrefs

Sequence in context: A129421 A013227 A013223 * A199224 A013224 A013230

Adjacent sequences: A219286 A219287 A219288 * A219290 A219291 A219292

Keyword

nonn

Author

R. H. Hardin Nov 17 2012

Status

approved