A219917 Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 4Xn array.

10, 12, 62, 234, 758, 2215, 6089, 16131, 41601, 104732, 257383, 617366, 1446049, 3311000, 7420755, 16302242, 35149900, 74472705, 155215596, 318538842, 644261359, 1285237151, 2530717545, 4921902564, 9460533531, 17981787273

Offset

1,1

Comments

Row 4 of A219915

Links

R. H. Hardin, Table of n, a(n) for n = 1..110

Formula

Empirical: a(n) = (1/15511210043330985984000000)*n^25 - (1/41363226782215962624000)*n^24 + (1457/310224200866619719680000)*n^23 - (2713/4496002911110430720000)*n^22 + (692183/12261826121210265600000)*n^21 - (52121/12975477376942080000)*n^20 + (135697207/613091306060513280000)*n^19 - (50515063/5377993912811520000)*n^18 + (189739535861/645359269537382400000)*n^17 - (14435259581/2530820664852480000)*n^16 - (348742189027/41758540970065920000)*n^15 + (3841409550029/662833983651840000)*n^14 - (8531529279941851/32121954592358400000)*n^13 + (212321253363400639/27839027313377280000)*n^12 - (74469442749409999/474528874659840000)*n^11 + (1457206854846086857/632705166213120000)*n^10 - (52637202981307688197/2520934646630400000)*n^9 + (1604277946247058503/128047474114560000)*n^8 + (10327649418025476087671/3193183885731840000)*n^7 - (262245096788378333916653/4257578514309120000)*n^6 + (65733979379968942434416599/97569507619584000000)*n^5 - (1586281697443237016871331/325231692065280000)*n^4 + (2882015655253652215006627/124672148625024000)*n^3 - (1369403974857258551719/21202746364800)*n^2 + (1006233194174754023/13385572200)*n + 27103060 for n>17

Example

Some solutions for n=3
..2..0..0....1..1..1....1..0..0....0..0..0....1..1..1....0..0..0....0..0..0
..2..0..0....1..0..0....1..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..2..0..0....1..0..0....1..0..0....2..2..2....0..0..0....1..1..2....0..0..0
..2..0..0....1..0..0....1..1..1....2..2..2....0..0..0....1..1..2....2..2..2

Crossrefs

Sequence in context: A242508 A367149 A363285 * A257039 A337076 A223150

Adjacent sequences: A219914 A219915 A219916 * A219918 A219919 A219920

Keyword

nonn

Author

R. H. Hardin, Dec 01 2012

Status

approved