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A224412 Number of 5Xn 0..1 arrays with rows unimodal and antidiagonals nondecreasing 1

%I #4 Apr 05 2013 20:54:16

%S 32,324,1288,3436,7812,16420,32814,63202,118117,214919,381436,661132,

%T 1120283,1857749,3018052,4808608,7522116,11565280,17495232,26065236,

%U 38281486,55473066,79377418,112243966,156958871,217194245,297585532

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

%C Row 5 of A224409

%H R. H. Hardin, <a href="/A224412/b224412.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/3628800)*n^10 + (1/80640)*n^9 + (1/3456)*n^8 + (23/5760)*n^7 + (7213/172800)*n^6 + (683/2304)*n^5 + (138869/36288)*n^4 + (32143/2240)*n^3 + (32909/450)*n^2 - (753/20)*n - 44 for n>3

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 05 2013

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)