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 A223861 Number of nX5 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing 1

%I

%S 296,14751,273959,3017129,23738426,145947740,740441932,3217594840,

%T 12305144319,42270004211,132509660564,383868226325,1038081470947,

%U 2642374422155,6374651949942,14659617536977,32293516183091

%N Number of nX5 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing

%C Column 5 of A223864

%H R. H. Hardin, <a href="/A223861/b223861.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (769/444787200)*n^15 + (769/14826240)*n^14 + (1364177/1556755200)*n^13 + (4745443/479001600)*n^12 + (19610293/239500800)*n^11 + (21660577/43545600)*n^10 + (51383569/21772800)*n^9 + (4604039/537600)*n^8 + (65760287/2721600)*n^7 + (2366026111/43545600)*n^6 + (21481491623/239500800)*n^5 + (11196959227/119750400)*n^4 - (1120821577/51891840)*n^3 - (1312521589/10810800)*n^2 + (8123611/51480)*n - 113 for n>2

%e Some solutions for n=3

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

%e ..0..0..1..1..1....0..0..1..1..0....2..2..1..0..0....0..0..1..3..1

%e ..3..3..2..2..1....0..0..1..3..0....3..3..1..0..0....0..1..2..3..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 28 2013

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Last modified May 19 05:04 EDT 2022. Contains 353826 sequences. (Running on oeis4.)