A184568 Number of (n+2)X5 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

545662, 6803631, 57374460, 380532059, 2113138210, 10202200416, 43935544294, 171891306894, 619309263773, 2076328840978, 6531156334265, 19403953247374, 54753242158853, 147433311933367, 380373129645753, 943599791869542

Offset

1,1

Comments

Column 3 of A184574

Links

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

Formula

Empirical: a(n) = (1/19437606570590208000000)*n^25

+ (9661/620448401733239439360000)*n^24

+ (19289/8617338912961658880000)*n^23

+ (647623/1926858390475898880000)*n^22

+ (7818869/185785244260761600000)*n^21

+ (179204479/50048269882490880000)*n^20

+ (6120818579/29194824098119680000)*n^19

+ (143209419911/16133981738434560000)*n^18

+ (923628988921/3259390250188800000)*n^17

+ (7642143794531/1084637427793920000)*n^16

+ (243608939835379/1739939207086080000)*n^15

+ (1936163562822023/852215121838080000)*n^14

+ (304569580619323823/9942509754777600000)*n^13

+ (29005828878292128217/83517081940131840000)*n^12

+ (233821500453548659/70300574023680000)*n^11

+ (7270110226386747353/271159356948480000)*n^10

+ (2420495398281155097653/13444984782028800000)*n^9

+ (23339250455280961243/23518923816960000)*n^8

+ (12862196280962074967/2910169866240000)*n^7

+ (66716838431089951113047/4257578514309120000)*n^6

+ (473698445981492045742353/10841056402176000000)*n^5

+ (4365469476964635381733/46461670295040000)*n^4

+ (6119481830014897449583/41557382875008000)*n^3

+ (1591545230217707383/10601373182400)*n^2

+ (106282373513353/1274816400)*n

+ 5965

Example

Some solutions for 4X5
..0..0..0..3..3....0..0..0..0..1....0..0..0..1..1....0..0..0..0..1
..0..0..0..3..3....0..0..0..2..3....0..0..0..1..2....0..0..0..2..2
..0..0..0..3..3....0..0..2..2..1....0..0..0..3..3....0..0..1..1..2
..0..1..1..0..1....0..0..3..2..1....0..1..2..2..2....0..0..1..1..3

Crossrefs

Sequence in context: A043667 A126722 A323061 * A320622 A218098 A293585

Adjacent sequences: A184565 A184566 A184567 * A184569 A184570 A184571

Keyword

nonn

Author

R. H. Hardin Jan 17 2011

Status

approved