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

1,1

Comments

Column 2 of A184574

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

Example

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

Crossrefs

Sequence in context: A074669 A241789 A010329 * A034089 A146569 A081463

Adjacent sequences: A184564 A184565 A184566 * A184568 A184569 A184570

Keyword

nonn

Author

R. H. Hardin Jan 17 2011

Status

approved