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 A223984 Number of nX5 0..3 arrays with rows unimodal and columns nondecreasing 1

%I #4 Mar 30 2013 08:06:13

%S 296,14751,308470,3770722,31831914,204647416,1067023886,4710529013,

%T 18159308422,62548820489,195900273940,565579629660,1521723229244,

%U 3849481958400,9222552207476,21052791564073,46024420537228

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

%C Column 5 of A223987

%H R. H. Hardin, <a href="/A223984/b223984.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (769/444787200)*n^15 + (781507/10897286400)*n^14 + (1419127/1037836800)*n^13 + (108727/6842880)*n^12 + (30122453/239500800)*n^11 + (15632539/21772800)*n^10 + (66446071/21772800)*n^9 + (299560531/30481920)*n^8 + (4868287/201600)*n^7 + (5624957/124416)*n^6 + (7644136631/119750400)*n^5 + (797122847/11975040)*n^4 + (85565105/1729728)*n^3 + (933168347/37837800)*n^2 + (73789/10010)*n + 1

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 30 2013

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Last modified September 15 19:46 EDT 2024. Contains 375954 sequences. (Running on oeis4.)