A185476 Number of (n+2)X10 0..2 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

636698, 6763143, 46732687, 247920339, 1090826214, 4179700035, 14425457557, 45945546278, 137459779979, 391292289484, 1069448946626, 2823755277643, 7231630113468, 18008053766767, 43669946969427, 103231986144218

Offset

1,1

Comments

Column 8 of A185477

Links

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

Formula

Empirical: a(n) = (1/3655545353349120000)*n^23

+ (97/1543957043650560000)*n^22

+ (43/6288115959595008)*n^21

+ (37903/80205560709120000)*n^20

+ (4363319/187146308321280000)*n^19

+ (111930887/128047474114560000)*n^18

+ (173896301/6722492391014400)*n^17

+ (999595589/1614043791360000)*n^16

+ (966949557157/79088145776640000)*n^15

+ (2303051708719/11298306539520000)*n^14

+ (762601942063/254936147558400)*n^13

+ (260118396674119/6373403688960000)*n^12

+ (6455418497147533/12167407042560000)*n^11

+ (10938624786824941/1738201006080000)*n^10

+ (15334472267219503/243348140851200)*n^9

+ (54278261336966987/108637562880000)*n^8

+ (9086167557375919/3017710080000)*n^7

+ (11925742307499655463/889218570240000)*n^6

+ (6823870134571712569/157688093122560)*n^5

+ (7908447122576853679/78218300160000)*n^4

+ (17170767258622048961/100380151872000)*n^3

+ (406964817911133233/2151003254400)*n^2

+ (2131730921383/19612560)*n

+ 6377

Example

Some solutions for 4X10
..0..0..0..0..0..0..0..0..0..2....0..0..0..0..0..0..0..0..0..2
..0..0..0..0..0..0..0..0..2..2....0..0..0..0..0..0..0..0..1..2
..0..0..0..0..0..1..1..2..1..2....0..0..0..0..0..0..2..2..0..0
..0..0..0..0..0..2..2..2..2..2....0..0..0..0..1..1..2..2..1..1

Crossrefs

Sequence in context: A251564 A066590 A237909 * A237903 A250674 A378055

Adjacent sequences: A185473 A185474 A185475 * A185477 A185478 A185479

Keyword

nonn

Author

R. H. Hardin Jan 28 2011

Status

approved