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A224189 Number of nX7 0..2 arrays with rows unimodal and columns nondecreasing 1

%I

%S 239,9503,165212,1727738,12741432,72710554,340780382,1366188661,

%T 4823267213,15322738603,44529268480,119909493132,302279622352,

%U 719306742780,1626780581324,3516536949577,7300336446323,14614022023815

%N Number of nX7 0..2 arrays with rows unimodal and columns nondecreasing

%C Column 7 of A224190

%H R. H. Hardin, <a href="/A224189/b224189.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (118519/21794572800)*n^14 + (93527/444787200)*n^13 + (6343/1710720)*n^12 + (9456619/239500800)*n^11 + (1028647/3628800)*n^10 + (10525213/7257600)*n^9 + (5190079/952560)*n^8 + (47462621/3110400)*n^7 + (99470417/3110400)*n^6 + (542507339/10886400)*n^5 + (226284461/3991680)*n^4 + (453542611/9979200)*n^3 + (60780847/2522520)*n^2 + (96119/12870)*n + 1

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 01 2013

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Last modified May 26 21:56 EDT 2022. Contains 354092 sequences. (Running on oeis4.)