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
Keywords
Examples
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
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
Comments