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A184568 Number of (n+2)X5 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order 1
545662, 6803631, 57374460, 380532059, 2113138210, 10202200416, 43935544294, 171891306894, 619309263773, 2076328840978, 6531156334265, 19403953247374, 54753242158853, 147433311933367, 380373129645753, 943599791869542 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 28 07:30 EDT 2022. Contains 354112 sequences. (Running on oeis4.)