A219771 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX6 array

6, 15, 114, 771, 4837, 27921, 147717, 725287, 3342140, 14569918, 60328126, 237879223, 895542427, 3227615841, 11166814658, 37186260684, 119490688029, 371363754669, 1118694131688, 3272799722189, 9315261723895, 25836710356888

Offset

1,1

Comments

Column 6 of A219773

Links

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

Formula

Empirical: a(n) = (1/5045482405461984828938794598400000000)*n^35 - (1/24026106692676118233041879040000000)*n^34 + (1/226128062989892877487452979200000)*n^33 - (1/20154016309259614749327360000000)*n^32 - (8117/160602317464412555033702400000000)*n^31 + (523/62796605069174019563520000000)*n^30 - (12352037/17407218925175038223007744000000)*n^29 + (4175543/142916411536740872110080000000)*n^28 + (469811/431510904398372198400000000)*n^27 - (186288391/635184051274403876044800000)*n^26 + (43292262799/1612390284004255993036800000)*n^25 - (16434584319113/10749268560028373286912000000)*n^24 + (34406626787188211/687785230520565447029760000000)*n^23 + (10868974062757/37659133474767028224000000)*n^22 - (26961751162911413/165700187288974924185600000)*n^21 + (313057556087848987/25106088983178018816000000)*n^20 - (43059031263431107672753/70422579597814342778880000000)*n^19 + (1321674059887966104503/61774192629661704192000000)*n^18 - (10327817019769189154250607/20878223598410840447385600000)*n^17 + (251580033754741426914419/83546312918810886144000000)*n^16 + (62633687460385827269002961459/170878318141755390566400000000)*n^15 - (505931715292926968104115549947/22783775752234052075520000000)*n^14 + (7785785853634643676737666066489/9674341704025535958220800000)*n^13 - (161318354869711120391008912774801/7329046745473890877440000000)*n^12 + (1810706701943012105979735192864715543/3751555802839447892889600000000)*n^11 - (56250707391568336374011456183681981/6496200524397312368640000000)*n^10 + (75937837134216333503612122808819341/595485048069753633792000000)*n^9 - (1012140196838846857295099311188509183/661650053410837370880000000)*n^8 + (19531985879255006838867914559288528083/1332489690896825260800000000)*n^7 - (11511906015429983301730395594047666839/106599175271746020864000000)*n^6 + (311533258539487424211711493505944774213/553157024725342938700800000)*n^5 - (48253290984878846028336242619099005827/30291932306387827595520000)*n^4 - (13746274809531221217642844567562691691/6130510109626107965760000)*n^3 + (161161720297649296696748119194743/3685972889385586800)*n^2 - (118102225936548097445761267/656379785880)*n + 283503057055009 for n>21

Example

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

Crossrefs

Sequence in context: A133472 A213873 A372990 * A087137 A056317 A129421

Adjacent sequences: A219768 A219769 A219770 * A219772 A219773 A219774

Keyword

nonn

Author

R. H. Hardin Nov 27 2012

Status

approved