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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

%I

%S 5,6,43,166,620,2125,6994,22202,67464,195743,543950,1452673,3737953,

%T 9286352,22316636,51975268,117526674,258459526,553680185,1157120286,

%U 2362356507,4717471586,9225257317,17685766540,33272247562,61483526901

%N 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

%C Column 5 of A219519

%H R. H. Hardin, <a href="/A219516/b219516.txt">Table of n, a(n) for n = 1..210</a>

%F 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

%e Some solutions for n=3

%e ..1..1..1..1..1....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0

%e ..1..1..1..1..1....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0

%e ..1..1..1..1..1....1..1..0..0..0....0..0..1..0..1....0..0..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 21 2012

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Last modified October 19 04:40 EDT 2019. Contains 328211 sequences. (Running on oeis4.)