A219688 - OEIS

A219688

Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 4Xn array

10, 19, 99, 427, 1531, 5031, 15763, 47784, 140586, 401745, 1116450, 3022129, 7979699, 20573716, 51835099, 127704345, 307858090, 726741861, 1681297548, 3815152314, 8498764539, 18601381870, 40034714647, 84794977698, 176874740063

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OFFSET

1,1

COMMENTS

Row 4 of A219686

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..125

FORMULA

Empirical: a(n) = (1/71811157608013824000000)*n^25 - (101/17234677825923317760000)*n^24 + (5449/4308669456480829440000)*n^23 - (68021/374666909259202560000)*n^22 + (9824237/510909421717094400000)*n^21 - (21583/13610640605184000)*n^20 + (5371647499/51090942171709440000)*n^19 - (394323599/68948639907840000)*n^18 + (45438295453/175751435059200000)*n^17 - (16515462281/1687213776568320)*n^16 + (542084002355513/1739939207086080000)*n^15 - (28192245777209/3381806039040000)*n^14 + (3250324207416831463/17399392070860800000)*n^13 - (1612171294329183241/463983788556288000)*n^12 + (2781152508058068181/52725430517760000)*n^11 - (757894220102779469/1198305239040000)*n^10 + (37334585059613913334793/6722492391014400000)*n^9 - (107120698751683891/3939922280448)*n^8 - (79214526965365782185939/798295971432960000)*n^7 + (49706772664271871813409/13646084981760000)*n^6 - (2005940155459581015843920483/48784753809792000000)*n^5 + (15777623834516738464154783/54205282010880000)*n^4 - (17331604984082844755616061/12467214862502400)*n^3 + (215362834119633956818141/49473074851200)*n^2 - (4207251609878775049/524924400)*n + 6438609162 for n>14

EXAMPLE

Some solutions for n=3

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

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

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

..2..1..1....2..1..1....1..2..2....2..2..2....2..2..2....2..1..1....1..1..1

CROSSREFS

Sequence in context: A255764 A181957 A181898 * A166706 A131495 A060630

Adjacent sequences: A219685 A219686 A219687 * A219689 A219690 A219691

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 25 2012

STATUS

approved