A184570 Number of (n+2)X7 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

9496395, 179122657, 2113138210, 18803004899, 136680720320, 848542379467, 4626643143791, 22587829272879, 100176548344077, 408222405584237, 1542895435045954, 5451380899694523, 18127035085729328, 57057694316853427

Offset

1,1

Comments

Column 5 of A184574

Links

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

Formula

Empirical: a(n) = (53/1256354263434365594763264000000)*n^31

+ (887251/53050571962438211727261696000000)*n^30

+ (168683833/53050571962438211727261696000000)*n^29

+ (41695943/107607651039428421353472000000)*n^28

+ (2966611997/87110955603346817286144000000)*n^27

+ (2731091581/1161479408044624230481920000)*n^26

+ (934969479473/6700842738718985945088000000)*n^25

+ (71784126942161/9381179834206580323123200000)*n^24

+ (3676674924849281/9381179834206580323123200000)*n^23

+ (563822102281853/31375183391995251916800000)*n^22

+ (83036861466787/117713530763618549760000)*n^21

+ (449635445808107101/19422732575997060710400000)*n^20

+ (477728343774895560181/757486570463885367705600000)*n^19

+ (3984914175553439894747/279073999644589345996800000)*n^18

+ (75296304543122414243729/279073999644589345996800000)*n^17

+ (70202812023470878658099/16416117626152314470400000)*n^16

+ (22342133059122888182221/390859943479817011200000)*n^15

+ (538093024334021462801389/830577379894611148800000)*n^14

+ (2442381065653362888003371/390188824071369523200000)*n^13

+ (58251363958080569432189063/1124661904676300390400000)*n^12

+ (3197480702491150929211393747/8690569263407775744000000)*n^11

+ (8235918337333023060582879371/3676779303749443584000000)*n^10

+ (303695701411023425123140222861/26175166948121038848000000)*n^9

+ (146703475487334161319713918707/2908351883124559872000000)*n^8

+ (1138074246303729762260088761137/6301429080103213056000000)*n^7

+ (382639794160479617211461259329/735166726012041523200000)*n^6

+ (6678667213399686650750546663/5672582762438592000000)*n^5

+ (6218970366747150808423568309/3063194691716839680000)*n^4

+ (76642858735900764443216317/30215185734621888000)*n^3

+ (57745583617616433273949/27977023828353600)*n^2

+ (32024932439911153349/36100888223400)*n

+ 35316

Example

Some solutions for 4X7
..0..0..0..0..0..0..1....0..0..0..0..0..0..3....0..0..0..0..0..2..3
..0..0..0..0..0..1..2....0..0..0..0..0..2..3....0..0..0..0..0..2..3
..0..0..0..0..0..3..1....0..0..0..0..1..0..3....0..0..0..0..2..0..0
..0..0..0..0..2..2..3....0..0..0..0..1..3..2....0..0..0..0..2..3..0

Crossrefs

Sequence in context: A066703 A270994 A162030 * A124515 A075009 A186627

Adjacent sequences: A184567 A184568 A184569 * A184571 A184572 A184573

Keyword

nonn

Author

R. H. Hardin Jan 17 2011

Status

approved