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A224129 Number of n X 4 0..1 arrays with rows nondecreasing and antidiagonals unimodal. 1

%I #11 Aug 27 2018 06:04:19

%S 5,25,106,419,1635,6392,25047,98221,385194,1510527,5923295,23227112,

%T 91080915,357157713,1400531394,5491938683,21535675531,84448377880,

%U 331149514687,1298544789829,5092015833594,19967447759719,78298847269031

%N Number of n X 4 0..1 arrays with rows nondecreasing and antidiagonals unimodal.

%C Column 4 of A224133.

%H R. H. Hardin, <a href="/A224129/b224129.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) - 5*a(n-2) + 2*a(n-3) + 4*a(n-4).

%F Empirical g.f.: x*(5 + 6*x^2 + 4*x^3) / (1 - 5*x + 5*x^2 - 2*x^3 - 4*x^4). - _Colin Barker_, Aug 27 2018

%e Some solutions for n=3:

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

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

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

%Y Cf. A224133.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 31 2013

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Last modified April 24 17:02 EDT 2024. Contains 371962 sequences. (Running on oeis4.)