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

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

Offset

1,1

Comments

Row 4 of A219883

Links

R. H. Hardin, Table of n, a(n) for n = 1..78

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

Adjacent sequences: A219882 A219883 A219884 * A219886 A219887 A219888

Keyword

nonn

Author

R. H. Hardin Nov 30 2012

Status

approved