A186090 Number of (n+2)X5 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.

11258613, 280102672, 4527262140, 55707179395, 558643720724, 4754203179765, 35285910378578, 232998389350277, 1389861134920751, 7581135805604097, 38188894333159149, 179116588954318878, 787613147423182292

Offset: 1

Author

R. H. Hardin Feb 12 2011

Keywords

• nonn

Comments

Column 3 of A186096

Examples

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

Links

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

Formula

Empirical: a(n) = (73/780558954307155499190634781246950872186880000000)*n^42

+ (13457/180824468179263822206324659748328387379200000000)*n^41

+ (3900581/135985880541316289057601878266019315712000000000)*n^40

+ (34573607/3547457753251729279763527259113547366400000000)*n^39

+ (783095609/261511308733300555880003612050037145600000000)*n^38

+ (157680394517/220220049459621520741055673305294438400000000)*n^37

+ (4449274379387/34719377167057446963679948494077952000000000)*n^36

+ (78266544045647/4463919921478814609615993377810022400000000)*n^35

+ (351711904372487/185996663394950608733999724075417600000000)*n^34

+ (6672186316510963/40397465352749453480687722876108800000000)*n^33

+ (227175899704566161/19027791651657351277135521644544000000000)*n^32

+ (1413399090272799163/1945063146613862574996075545886720000000)*n^31

+ (2425160040317086077469/64234141817611026166201043229081600000000)*n^30

+ (1308646465558482919369/772741555700583773427982474936320000000)*n^29

+ (8213920694956950635983/124087978011418962940598943744000000000)*n^28

+ (5617282592462587740731/2472065186946237152332244582400000000)*n^27

+ (1521762722497945153402541/22068569627876972486051135225856000000)*n^26

+ (1878543024001065125286721/1010003186630525056569846005760000000)*n^25

+ (19717317282559725840243293103257/440267964076145601096720147755827200000000)*n^24

+ (36446427572892822692407351649479/37737254063669622951147441236213760000000)*n^23

+ (638998422910875785524665678547/34182295347526832383285725757440000000)*n^22

+ (410339155805630961759651456959341/1262115520524067657229011412582400000000)*n^21

+ (1597892128488008319769676720915853731/314477117197246857926228676968448000000000)*n^20

+ (118015939736082965864789540542347989/1655142722090772936453835141939200000000)*n^19

+ (22520321279448444798605884585883924747/25102997951710056202883166319411200000000)*n^18

+ (208434692374593985301910711360962527/20636370256246849271643085209600000000)*n^17

+ (40155510721702241732533453141570195711/395530429911397944373159133184000000000)*n^16

+ (107825268730953277264995498539714242159/118659128973419383311947739955200000000)*n^15

+ (318616883175578368540913621780089270543/44116855643963616872390826393600000000)*n^14

+ (747073340688717248973589706042919081053/14705618547987872290796942131200000000)*n^13

+ (443493217956706208236819899328289622001969/1407846716873544832545413136384000000000)*n^12

+ (32621201841163616405254679822642326961/19042363199148873893680250880000000)*n^11

+ (113921405629950674287156063055479914539627/14039603215198566480525341491200000000)*n^10

+ (1144524508165891320553030705838759610107/34499024994611862078213980160000000)*n^9

+ (432497307915044598355384092794497612462427/3737394374416285058473181184000000000)*n^8

+ (61814920247335881381979777245139927327/182134228772723443395379200000000)*n^7

+ (163824786702020604320943990364873597119237371/199243608595444170038087349903360000000)*n^6

+ (9556363100363254083446664661866985861/5935805108544382776767462400000)*n^5

+ (2788041811480138681735984949313139707043/1129498914940159694093465702400000)*n^4

+ (27300487560154033333750602692383903/9743779459456174034622720000)*n^3

+ (15469108906282154365785469517369/7285083194795024114496000)*n^2

+ (5578947488502101228747/6258862563988320)*n

+ 42948