A186089 Number of (n+2)X4 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

1252889, 22559052, 280102672, 2743553694, 22408644868, 157927508610, 983600385660, 5510351270895, 28148281162513, 132536596243411, 580315278868317, 2380269230618654, 9202746397302837, 33716548041703337

Offset

1,1

Comments

Column 2 of A186096

Links

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

Formula

Empirical: a(n) = (1/1037743288624208555079379412896972800000000)*n^38

+ (9587/13763753091226345046315979581580902400000000)*n^37

+ (28529/33817575162718292497090858922803200000000)*n^36

+ (50210497/123997775596633739155999816050278400000000)*n^35

+ (1900280537/17713967942376248450857116578611200000000)*n^34

+ (9810978167/520999057128713189731091664076800000000)*n^33

+ (57089921089/23681775324032417715049621094400000000)*n^32

+ (4087992351929/17148871786368302483311794585600000000)*n^31

+ (303453087639563/16042492961441315226323936870400000000)*n^30

+ (4412111988180881/3564998435875847828071985971200000000)*n^29

+ (1012607727773101/14859788857383223231827148800000000)*n^28

+ (619636013553448457/193177255145981902013752934400000000)*n^27

+ (458949578768601001/3512313729926943672977326080000000)*n^26

+ (943289164621422777259/202836117903280997114440581120000000)*n^25

+ (59070867116817962298787/405672235806561994228881162240000000)*n^24

+ (1393933770239512745891/345841633253676039410810880000000)*n^23

+ (64202052337199276920051/649014493573456983050158080000000)*n^22

+ (11193762585634106524077107/5192115948587655864401264640000000)*n^21

+ (1372508760873429144032358479/32883401007721820474541342720000000)*n^20

+ (234715009337204557947402530761/327103304761022319457279672320000000)*n^19

+ (196919620544266318182437509750193/17990681761856227570150381977600000000)*n^18

+ (26104076532588252567987652718051/176379232959374780099513548800000000)*n^17

+ (897593478835185195052329498839/506583711047155337448652800000000)*n^16

+ (339711053666750838203318321424907/18110367669935803313789337600000000)*n^15

+ (6349701573494460077791558378539673/36220735339871606627578675200000000)*n^14

+ (548749037509303811220820318146454901/380317721068651869589576089600000000)*n^13

+ (45039178838637375189325633152939223/4321792284871043972608819200000000)*n^12

+ (63110030791198126365586351934048441/960398285526898660579737600000000)*n^11

+ (1429109394382916914750784172458483471/3978792897182865879544627200000000)*n^10

+ (124266834396427914505767245501957821/73681349947830849621196800000000)*n^9

+ (10567048538735385404340116838466697759/1570333770763144982551756800000000)*n^8

+ (2427874275387519655050037351600570741/107768003875902106645708800000000)*n^7

+ (8832810953454457317486336954522298211/141567968727889585548226560000000)*n^6

+ (485730805911773470277068599637126553/3460550346681745424512204800000)*n^5

+ (324665650575170794206768040559/1305907478973608797440000)*n^4

+ (92093319388923975529326424091/281862533775913009920000)*n^3

+ (1599179967649434547569863507/5552654874081573258000)*n^2

+ (8435127242640643/58220894160)*n

+ 10524

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..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..2....0..0..0..1....0..0..0..1....0..0..1..1....0..0..0..2
..0..1..1..4....1..1..3..2....2..3..4..3....3..3..0..2....0..1..2..2
..4..3..4..0....2..2..4..4....2..4..4..0....3..4..2..3....4..2..4..0

Crossrefs

Sequence in context: A210132 A251118 A126174 * A208489 A257268 A233465

Adjacent sequences: A186086 A186087 A186088 * A186090 A186091 A186092

Keyword

nonn

Author

R. H. Hardin Feb 12 2011

Status

approved