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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 1
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 (list; graph; refs; listen; history; text; internal format)
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: A137254 A262308 A299168 * A273050 A163481 A298376

Adjacent sequences:  A219513 A219514 A219515 * A219517 A219518 A219519

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 21 2012

STATUS

approved

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Last modified August 20 04:52 EDT 2019. Contains 326139 sequences. (Running on oeis4.)