A184571 Number of (n+2)X8 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.

33351260, 748499580, 10202200416, 103444456133, 848542379467, 5891845723505, 35627770917826, 191432663548535, 928188067899417, 4112020013610989, 16817412144178637, 64051659837968288, 228872310887087218

Offset: 1

Author

R. H. Hardin Jan 17 2011

Keywords

• nonn

Comments

Column 6 of A184574

Examples

			Some solutions for 4X8
..0..0..0..0..0..0..2..2....0..0..0..0..0..0..0..3....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..2..3....0..0..0..0..0..0..2..3....0..0..0..0..0..0..0..1
..0..0..0..0..0..2..0..1....0..0..0..0..1..1..0..1....0..0..0..0..0..0..1..2
..0..0..0..0..1..3..0..3....0..0..0..0..1..2..1..1....0..0..0..0..0..2..1..0
		

Links

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

Formula

Empirical: a(n) = (1/41634367755283133135585280000000)*n^34

+ (1601/148577547675716279032872960000000)*n^33

+ (542077/232996608855100528483368960000000)*n^32

+ (116777753/361443457326502101878046720000000)*n^31

+ (6080562217/187237312808605453155041280000000)*n^30

+ (1781455743577/707340959499176156363489280000000)*n^29

+ (719717589733/4573325169175707907522560000000)*n^28

+ (1306220268863/158383555642448758702080000000)*n^27

+ (3963468744882037/10453314672401618074337280000000)*n^26

+ (68586589630711/4288539352780151004856320000)*n^25

+ (357317876962793491/562870790052394819387392000000)*n^24

+ (490601448632399591/20847066298236845162496000000)*n^23

+ (3874026234161310389/4894528609151259299020800000)*n^22

+ (710832152721594474097/30299462818555414708224000000)*n^21

+ (976045901457707066617/1623185508136897216512000000)*n^20

+ (15386033688329449503493/1165363954559823642624000000)*n^19

+ (281743583253272622372034169/1138621918549924531666944000000)*n^18

+ (5353134759742300841592539/1353086058882857435136000000)*n^17

+ (103092441988364765692828075111/1908866157568991126618112000000)*n^16

+ (14326813312025505925268674433/22724597113916561031168000000)*n^15

+ (7903021423230805478367320683/1253194693782163292160000000)*n^14

+ (236775495736369578196358799151/4370114829599338659840000000)*n^13

+ (9193732496153533286175432221173/22943102855396527964160000000)*n^12

+ (3255573919420174151256147711347/1274616825299807109120000000)*n^11

+ (68439739709805838002894466449091/4886031163649260584960000000)*n^10

+ (132437631115418929945028905292687/2016457305633028177920000000)*n^9

+ (43705388600817390369710158307227/168038108802752348160000000)*n^8

+ (1266937711800607406615267159/1483701603471360000000)*n^7

+ (2418452375434800377101124575965119/1065991752717460208640000000)*n^6

+ (56154030486781961766245142082679/11844352807971780096000000)*n^5

+ (3072960621509500129944652477871/407972152274583536640000)*n^4

+ (139728569944966575024454759/16189371122007283200)*n^3

+ (946493352594223323198194773/147438915575423472000)*n^2

+ (2493598780438407349/1002802450650)*n

+ 75476