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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
(history; published version)

#4 by R. H. Hardin at Tue Nov 27 06:12:18 EST 2012

STATUS

editing

approved

#3 by R. H. Hardin at Tue Nov 27 06:12:13 EST 2012

LINKS

R. H. Hardin, <a href="/A219771/b219771.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Tue Nov 27 06:11:53 EST 2012

NAME

allocated for R. H. Hardin

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

DATA

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin Nov 27 2012

STATUS

approved

editing

#1 by R. H. Hardin at Tue Nov 27 06:06:29 EST 2012

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved