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A223683 Number of 5Xn 0..1 arrays with rows and antidiagonals unimodal 1

%I #4 Mar 25 2013 11:12:53

%S 32,1024,13045,85663,384009,1363639,4123210,11062778,27036251,

%T 61267043,130398069,263173867,507406703,940062881,1681523014,

%U 2915323586,4914979621,8079822545,12982166253,20428540847,31538210365,47842720947

%N Number of 5Xn 0..1 arrays with rows and antidiagonals unimodal

%C Row 5 of A223680

%H R. H. Hardin, <a href="/A223683/b223683.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (359/453600)*n^10 + (251/30240)*n^9 + (14533/60480)*n^8 + (583/630)*n^7 + (62303/5400)*n^6 - (4999/1440)*n^5 + (14868751/181440)*n^4 - (1038043/3780)*n^3 + (3156491/8400)*n^2 - (91003/210)*n + 362 for n>2

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 25 2013

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Last modified September 3 07:27 EDT 2024. Contains 375649 sequences. (Running on oeis4.)