A219516 Number of nX5 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..1 nX5 array

5, 6, 43, 166, 620, 2125, 6994, 22202, 67464, 195743, 543950, 1452673, 3737953, 9286352, 22316636, 51975268, 117526674, 258459526, 553680185, 1157120286, 2362356507, 4717471586, 9225257317, 17685766540, 33272247562, 61483526901

Offset

1,1

Comments

Column 5 of A219519

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (1/4940103168000)*n^17 - (37/1743565824000)*n^16 + (19/16345929600)*n^15 - (677/29059430400)*n^14 - (222319/186810624000)*n^13 + (1173203/9580032000)*n^12 - (987673/182891520)*n^11 + (88318147/609638400)*n^10 - (39519658793/18289152000)*n^9 - (945150721/451584000)*n^8 + (1475988735499/1437004800)*n^7 - (7043508241541/239500800)*n^6 + (162618282063021361/326918592000)*n^5 - (207747522262358461/36324288000)*n^4 + (27523316250561749/605404800)*n^3 - (2026176077973587/8408400)*n^2 + (7656884230336/9945)*n - 1124898508 for n>14

Example

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

Crossrefs

Sequence in context: A355137 A352641 A299168 * A273050 A163481 A298376

Adjacent sequences: A219513 A219514 A219515 * A219517 A219518 A219519

Keyword

nonn

Author

R. H. Hardin Nov 21 2012

Status

approved