A220046 Number of 3Xn 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 nonincreasing columns, 0..3 3Xn array

20, 59, 184, 848, 2902, 9055, 26963, 76874, 211179, 561525, 1448263, 3632759, 8883599, 21227329, 49658836, 113914079, 256565306, 567974512, 1237033071, 2652919602, 5606496287, 11683870637, 24026097363, 48778338927, 97822577971

Offset

1,1

Comments

Row 3 of A220044

Links

R. H. Hardin, Table of n, a(n) for n = 1..117

Formula

Empirical: a(n) = (1/403291461126605635584000000)*n^26 - (1/2386340006666305536000000)*n^25 + (1/25852016738884976640000)*n^24 - (971/620448401733239439360000)*n^23 - (1291/29973352740736204800000)*n^22 + (264301/24523652242420531200000)*n^21 - (585619/817455074747351040000)*n^20 + (1702919/76636413257564160000)*n^19 + (55769939/430239513024921600000)*n^18 - (57873759473/1290718539074764800000)*n^17 + (9684348637/4639837885562880000)*n^16 - (3914078255459/83517081940131840000)*n^15 + (215018623323613/1206357850246348800000)*n^14 + (19576569823851979/835170819401318400000)*n^13 - (23533894850587963/27839027313377280000)*n^12 + (59609571604045123/3796230997278720000)*n^11 - (1007589571328254709/5975548792012800000)*n^10 + (51320300745894885721/80669908692172800000)*n^9 + (1920178014729925214233/153272826515128320000)*n^8 - (7985850767783833084087/25545471085854720000)*n^7 + (5195340624714198591739313/1170834091435008000000)*n^6 - (4720752658470992331022981/97569507619584000000)*n^5 + (594868732171829508743789/1496065783500288000)*n^4 - (278858662324669562498719/124672148625024000)*n^3 + (9915643693386144719/1312550965440)*n^2 - (35892062057123991/2974571600)*n + 3804040 for n>18

Example

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

Crossrefs

Sequence in context: A126374 A229536 A220013 * A275167 A344200 A163761

Adjacent sequences: A220043 A220044 A220045 * A220047 A220048 A220049

Keyword

nonn

Author

R. H. Hardin Dec 03 2012

Status

approved