A220039 - OEIS

A220039

Number of nX3 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 nX3 array

10, 25, 184, 927, 4415, 19083, 79295, 321566, 1259568, 4717825, 16857776, 57606698, 189020066, 597912638, 1829586732, 5430748522, 15671204978, 44036228316, 120655436611, 322669774355, 842965290520, 2152858503411, 5378480168433

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OFFSET

1,1

COMMENTS

Column 3 of A220044

LINKS

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

FORMULA

Empirical: a(n) = (1/1473626998956616992423936000000)*n^29 + (29/152444172305856930250752000000)*n^28 + (59/3111105557262386331648000000)*n^27 + (2017/2419748766759633813504000000)*n^26 + (601/26590645788567404544000000)*n^25 + (31699/37226904103994366361600000)*n^24 + (2405969/86862776242653521510400000)*n^23 + (33596467/33989782007994856243200000)*n^22 + (8427299/441425740363569561600000)*n^21 - (56013571/147141913454523187200000)*n^20 + (7573675663/231223006857107865600000)*n^19 + (4835290079/85187423578934476800000)*n^18 - (147414520045721/7752055545683037388800000)*n^17 + (1259847810695701/1368009802179359539200000)*n^16 - (3534942904775483/195429971739908505600000)*n^15 + (7586986411861739/65143323913302835200000)*n^14 + (35875362222238793/6084815969923891200000)*n^13 - (2023861913558150999/10648427947366809600000)*n^12 + (949264631277979465741/386247522818123366400000)*n^11 - (158674084376846602013/18105352632099532800000)*n^10 - (29086073964564053405867/2276101473749655552000000)*n^9 - (100284692080335198298013/21075013645830144000000)*n^8 + (10249261275490896843093097/69246473407727616000000)*n^7 - (57286214031737857091569957/26929184103005184000000)*n^6 + (11416083601292776555849018201/612638938343367936000000)*n^5 - (224722631042592670823040637/2042129794477893120000)*n^4 + (6939398231304078884944021/14586641389127808000)*n^3 - (3136625071649948281553/1929449919196800)*n^2 + (55228499034291227/13233463425)*n - 5647472 for n>9

EXAMPLE

Some solutions for n=3

..2..0..2....2..0..0....1..0..0....1..1..1....1..1..1....2..2..2....1..1..1

..2..0..0....2..0..2....1..0..0....1..1..1....1..1..1....0..0..0....1..1..1

..2..0..2....3..2..3....2..0..0....3..2..2....3..3..3....0..0..0....1..1..1

CROSSREFS

Sequence in context: A071289 A268303 A248833 * A219377 A156183 A124870

Adjacent sequences: A220036 A220037 A220038 * A220040 A220041 A220042

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 03 2012

STATUS

approved