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A219885 Number of 4Xn 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 nonincreasing columns, 0..2 4Xn array 1
15, 46, 146, 621, 2190, 6965, 21035, 60891, 171009, 465323, 1225425, 3124293, 7723032, 18545881, 43355303, 98866072, 220320615, 480589189, 1027625310, 2156754843, 4448124037, 9024377209, 18027331364, 35488683485, 68901443927 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A219883
LINKS
FORMULA
Empirical: a(n) = (1/15511210043330985984000000)*n^25 - (1/62044840173323943936000)*n^24 + (659/310224200866619719680000)*n^23 - (223/1348800873333129216000)*n^22 + (11969/1751689445887180800000)*n^21 + (13987/175168944588718080000)*n^20 - (307777/9016048618536960000)*n^19 + (218951/80669908692172800)*n^18 - (82167296539/645359269537382400000)*n^17 + (13594532843/3796230997278720000)*n^16 - (148582864867/5965505852866560000)*n^15 - (1842704639807/596550585286656000)*n^14 + (75084344850088337/417585409700659200000)*n^13 - (232073313496988597/41758540970065920000)*n^12 + (200770875484427393/1898115498639360000)*n^11 - (169860589360483739/189811549863936000)*n^10 - (86302000251116357611/5762136335155200000)*n^9 + (405525610427277793513/576213633515520000)*n^8 - (19180292378240586517013/1419192838103040000)*n^7 + (823632212233422499573/5256269770752000)*n^6 - (16853478306444036905959921/16261584603264000000)*n^5 + (8636807269422406550143/6022809112320000)*n^4 + (2309304917571323764033/58203617472000)*n^3 - (428371026518922607544/1159525191825)*n^2 + (1047154147978610871/743642900)*n - 2019003704 for n>23
EXAMPLE
Some solutions for n=3
..0..0..0....1..0..1....1..0..1....0..0..0....1..0..0....1..0..0....0..0..0
..0..0..0....1..0..0....1..0..0....0..0..0....1..0..1....1..0..1....0..0..0
..0..0..0....1..0..1....1..0..0....0..0..0....1..0..0....2..1..1....0..0..0
..1..0..1....1..1..1....2..0..2....1..0..2....2..0..1....2..1..1....0..2..0
CROSSREFS
Sequence in context: A136430 A139278 A041436 * A042007 A269013 A041438
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 30 2012
STATUS
approved

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Last modified June 15 19:43 EDT 2024. Contains 373410 sequences. (Running on oeis4.)