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A223641 Number of nX5 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal 1

%I #4 Mar 24 2013 17:11:49

%S 16,256,2014,9808,36947,120307,354726,967582,2469396,5941152,13555296,

%T 29475566,61346859,122671803,236477826,440811016,796753648,1399853788,

%U 2396080742,4003682172,6542620323,10473608867,16449161244,25379498938

%N Number of nX5 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal

%C Column 5 of A223644

%H R. H. Hardin, <a href="/A223641/b223641.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (359/453600)*n^10 - (391/18144)*n^9 + (27901/60480)*n^8 - (5318/945)*n^7 + (220373/5400)*n^6 + (42079/4320)*n^5 - (611182913/181440)*n^4 + (204761033/5670)*n^3 - (1618325179/8400)*n^2 + (680702213/1260)*n - 629380 for n>7

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 24 2013

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Last modified August 25 09:49 EDT 2024. Contains 375425 sequences. (Running on oeis4.)