A184567 Number of (n+2)X4 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.

102445, 993538, 6803631, 37767705, 179122657, 748499580, 2816118529, 9696377100, 30941723282, 92420016377, 260446479317, 696942824390, 1780351075904, 4360845287507, 10280777481167, 23403139892995

Offset: 1

Author

R. H. Hardin Jan 17 2011

Keywords

• nonn

Comments

Column 2 of A184574

Examples

			Some solutions for 6X4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..2....0..0..0..0....0..0..0..2....0..0..0..2....0..0..0..2
..0..0..1..2....0..0..2..2....0..0..1..3....0..0..1..2....0..0..2..2
..0..0..2..3....0..2..1..3....0..2..1..2....0..2..2..3....0..0..2..3
..0..3..0..1....0..3..3..3....0..3..2..1....1..3..1..2....0..1..3..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = (1/33058844934635520000)*n^22

+ (1/126150474498048000)*n^21

+ (383/104267228921856000)*n^20

+ (92459/162193467211776000)*n^19

+ (5962883/128047474114560000)*n^18

+ (288007/118562476032000)*n^17

+ (141294389/1581762915532800)*n^16

+ (37042283/15021490176000)*n^15

+ (1207776039097/22596613079040000)*n^14

+ (94240607009/100429391462400)*n^13

+ (961611518503/70815596544000)*n^12

+ (2095086803171/12875563008000)*n^11

+ (254043967271918849/158176291553280000)*n^10

+ (2521958296395977/195279372288000)*n^9

+ (47247456680158789/564915326976000)*n^8

+ (423943476564191/980755776000)*n^7

+ (834770646644810789/470762772480000)*n^6

+ (512186492040784177/88921857024000)*n^5

+ (5358598443971017331/369581468256000)*n^4

+ (33365097125850071/1263526387200)*n^3

+ (4012922158232927/129060195264)*n^2

+ (473624985875/23279256)*n

+ 2037