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A223617 Number of n X 5 0..1 arrays with rows and columns unimodal. 1

%I #6 May 20 2021 14:43:18

%S 16,256,2582,17594,89630,367216,1271969,3857481,10504174,26169386,

%T 60506898,131289614,269716032,528358366,992720569,1797620937,

%U 3149899316,5359276060,8879561670,14362835354,22729680458,35259087700,53702216265

%N Number of n X 5 0..1 arrays with rows and columns unimodal.

%C Column 5 of A223620.

%H R. H. Hardin, <a href="/A223617/b223617.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (359/453600)*n^10 + (251/30240)*n^9 + (3817/60480)*n^8 + (73/280)*n^7 + (1127/1350)*n^6 + (485/288)*n^5 + (532219/181440)*n^4 + (25699/7560)*n^3 + (30811/8400)*n^2 + (451/210)*n + 1.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A223620.

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 24 2013

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Last modified April 24 06:07 EDT 2024. Contains 371918 sequences. (Running on oeis4.)