A223672 - OEIS

%I #6 Apr 10 2022 14:13:59

%S 32,1024,10327,44693,136289,364959,920106,2218590,5118463,11300965,

%T 23936447,48791299,95996333,182794485,337692452,606574002,1061493687,

%U 1813061935,3027558649,4950175307,7936087995,12491408683,19326452244

%N Number of 5 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal.

%C Row 5 of A223669.

%H R. H. Hardin, <a href="/A223672/b223672.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (359/453600)*n^10 - (391/18144)*n^9 + (5825/12096)*n^8 - (13241/3780)*n^7 - (41189/675)*n^6 + (10637083/4320)*n^5 - (1341019765/36288)*n^4 + (7101447161/22680)*n^3 - (37771550507/25200)*n^2 + (2233774483/630)*n - 2534086 for n>12.

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A223669.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 25 2013