|
| |
|
|
A219823
|
|
Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 nX3 array
|
|
1
|
|
|
|
10, 38, 394, 2673, 16137, 84635, 413442, 1912366, 8425696, 35383400, 141858436, 544443510, 2006445992, 7121107189, 24402982732, 80928306022, 260243950300, 812904264463, 2470292341436, 7313266754655, 21119194519639, 59559203039353
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = (1/87170436244433518626667870683345715200000000)*n^38 + (73/13763753091226345046315979581580902400000000)*n^37 + (43/46499165848737652183499931018854400000000)*n^36 + (53/663089709072907696021389390643200000000)*n^35 + (83443/17713967942376248450857116578611200000000)*n^34 + (160273/520999057128713189731091664076800000000)*n^33 + (90119/5180388352132091375167104614400000000)*n^32 + (378980123/497317281804680772016042042982400000000)*n^31 + (1244076989/32084985922882630452647873740800000000)*n^30 + (1400500993/1188332811958615942690661990400000000)*n^29 + (22887463/464368401793225725994598400000000)*n^28 + (523735398751/193177255145981902013752934400000000)*n^27 - (480232729423/30049795244930518091028234240000000)*n^26 + (61050406947181/18439647082116454283130961920000000)*n^25 + (7815702034909733/101418058951640498557220290560000000)*n^24 - (28915771600020499/5879307765312492669983784960000000)*n^23 + (1440435347162408437/5192115948587655864401264640000000)*n^22 - (24607806760862812727/5192115948587655864401264640000000)*n^21 - (8728194623417111670161/258956782935809336237013073920000000)*n^20 + (6644107616951372902127/1131845345193848856253562880000000)*n^19 - (2809458630301120686355589273/17990681761856227570150381977600000000)*n^18 + (258312981820300820708064829/176379232959374780099513548800000000)*n^17 + (12532145095980614970764147/796060117359815530276454400000000)*n^16 + (97103189052788158797166121/149672460082114076973465600000000)*n^15 - (21604969607329151424361621573271/253545147379101246393050726400000000)*n^14 + (1300662399651105462684712700520619/380317721068651869589576089600000000)*n^13 - (725024344247084358579712519154459/8643584569742087945217638400000000)*n^12 + (1419236728756310438992625695981823/960398285526898660579737600000000)*n^11 - (82938209477085127947416094664977431/3978792897182865879544627200000000)*n^10 + (19715557286127495323757947563459139/73681349947830849621196800000000)*n^9 - (37684570795885247934293966540119680467/10992336395342014877862297600000000)*n^8 + (76992216056890523520936472185505883671/1832056065890335812977049600000000)*n^7 - (685516502797889410730889712068172918921/1557247656006785441030492160000000)*n^6 + (1145379005758281168631566793775094661/314595486061976856773836800000)*n^5 - (418634985726846108870365812966129/18282704705630523164160000)*n^4 + (51502926476209313583385387819331/480824322323616311040000)*n^3 - (56060750613191600624166838958501/155474336474284051224000)*n^2 + (1033090230503426410361/1290563153880)*n - 892348798 for n>11
|
|
|
EXAMPLE
|
Some solutions for n=3
..1..1..1....0..0..1....0..1..0....0..0..2....0..0..1....0..0..2....0..0..1
..0..1..0....0..0..1....0..0..0....2..0..1....0..0..1....2..0..0....1..0..0
..0..0..0....0..0..1....0..0..0....2..1..2....1..0..0....2..0..2....2..0..2
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
