A219591 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX4 array

10, 34, 233, 1114, 4350, 16117, 60252, 226309, 831045, 2932198, 9899904, 32047091, 99786646, 299774977, 871181292, 2454943142, 6722356023, 17921513868, 46593529264, 118305418513, 293738371262, 713963398966, 1700512384149

Offset

1,1

Comments

Column 4 of A219595

Links

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

Formula

Empirical: a(n) = (1/81868166608700944023552000000)*n^29 - (67/33876482734634873389056000000)*n^28 + (1093/7259246300278901440512000000)*n^27 - (1/940621483677214310400000)*n^26 - (47119/62044840173323943936000000)*n^25 + (1869449/24817936069329577574400000)*n^24 - (296052733/86862776242653521510400000)*n^23 + (54522829/1510656978133104721920000)*n^22 + (167845631/29428382690904637440000)*n^21 - (6024199483/14013515567097446400000)*n^20 + (8467657127141/539520349333251686400000)*n^19 - (2932958591041/11358323143857930240000)*n^18 - (12704169291856247/2584018515227679129600000)*n^17 + (47097728297965439/101334059420693299200000)*n^16 - (1011984217642567843/65143323913302835200000)*n^15 + (364057784069101777/1240825217396244480000)*n^14 - (56366476163066975107/28395807859644825600000)*n^13 - (904186645491855977543/14197903929822412800000)*n^12 + (6474020741492280364763/2600993419650662400000)*n^11 - (1166634295507637525043197/25749834854541557760000)*n^10 + (717109824273215889502078381/1517400982499770368000000)*n^9 - (6363461015557560073335283/4014288313491456000000)*n^8 - (11656748989007326967754487087/323150209236062208000000)*n^7 + (3938184473751556080945711017/5385836820601036800000)*n^6 - (163994244837799128753946400473/22690331049754368000000)*n^5 + (30438522365937746680601642677/680709931492631040000)*n^4 - (60274458996187160134975931/347300985455424000)*n^3 + (102759246483272304467447/275635702742400)*n^2 - (195156984499999649389/776363187600)*n - 310620487 for n>13

Example

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

Crossrefs

Sequence in context: A232902 A001890 A221810 * A272365 A230895 A254674

Adjacent sequences: A219588 A219589 A219590 * A219592 A219593 A219594

Keyword

nonn

Author

R. H. Hardin Nov 23 2012

Status

approved